Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7400g |
Isogeny class |
Conductor |
7400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
3700000000 = 28 · 58 · 37 |
Discriminant |
Eigenvalues |
2- 3 5+ 5 -3 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-700,6500] |
[a1,a2,a3,a4,a6] |
j |
9483264/925 |
j-invariant |
L |
5.4451072840565 |
L(r)(E,1)/r! |
Ω |
1.3612768210141 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14800e1 59200bk1 66600p1 1480a1 |
Quadratic twists by: -4 8 -3 5 |