Atkin-Lehner |
7+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
95081b |
Isogeny class |
Conductor |
95081 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50319360 |
Modular degree for the optimal curve |
Δ |
-1.3300652815624E+23 |
Discriminant |
Eigenvalues |
-1 3 1 7+ -5 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1275951672,-17542511571188] |
[a1,a2,a3,a4,a6] |
Generators |
[60308665580445747480386471969228119945230590200227423054885275128705772871555269727563049049290447373878830149237528721365482377312622753884303747119563139889395971015144773771654141465631767818756691161080:87488103172407950955355373773346621378377530715575008835534165769456829864946034200334309847375422750595832344452611535785716337613011929330477243510614565483497689825288150036635310762032048253544540538020292:28629645168883496850572508003247235063700428964596357922698712098497848363833106042073239049611437067355957574719462914633936340896846279599463031422386198818540535875679721375156234277250527887348039] |
Generators of the group modulo torsion |
j |
-9517718582850347460282609/5510353099611689 |
j-invariant |
L |
8.0306640391536 |
L(r)(E,1)/r! |
Ω |
0.012630222100377 |
Real period |
R |
317.91460099954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5593c1 |
Quadratic twists by: 17 |