Atkin-Lehner |
2- 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
35650l |
Isogeny class |
Conductor |
35650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
3453593750000 = 24 · 510 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -5 1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7513,231031] |
[a1,a2,a3,a4,a6] |
Generators |
[79:332:1] |
Generators of the group modulo torsion |
j |
4802500825/353648 |
j-invariant |
L |
12.301681289564 |
L(r)(E,1)/r! |
Ω |
0.77556265312607 |
Real period |
R |
1.9827026933253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35650f1 |
Quadratic twists by: 5 |