Atkin-Lehner |
2+ 3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550n |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
8.191475712E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1181875,-234921875] |
[a1,a2,a3,a4,a6] |
Generators |
[287355866490:-18256805152445:67419143] |
Generators of the group modulo torsion |
j |
11684735845700727601/5242544455680000 |
j-invariant |
L |
4.0297503458773 |
L(r)(E,1)/r! |
Ω |
0.15099578904003 |
Real period |
R |
13.343916315471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650ed1 6510ba1 |
Quadratic twists by: -3 5 |