Atkin-Lehner |
3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
116487h |
Isogeny class |
Conductor |
116487 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13483008 |
Modular degree for the optimal curve |
Δ |
-3.7617106127511E+24 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 3 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-721110,-93315159581] |
[a1,a2,a3,a4,a6] |
Generators |
[662458949860024:38202835412619391:110039961088] |
Generators of the group modulo torsion |
j |
-8998912000/816294970323 |
j-invariant |
L |
5.8207755586251 |
L(r)(E,1)/r! |
Ω |
0.035931613522681 |
Real period |
R |
20.249492674991 |
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 |
38829b1 2709b1 |
Quadratic twists by: -3 -43 |