Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7400j |
Isogeny class |
Conductor |
7400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
74000000000 = 210 · 59 · 37 |
Discriminant |
Eigenvalues |
2- -2 5- 4 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1208,9088] |
[a1,a2,a3,a4,a6] |
Generators |
[7:32:1] |
Generators of the group modulo torsion |
j |
97556/37 |
j-invariant |
L |
3.4574985919455 |
L(r)(E,1)/r! |
Ω |
0.9953891799194 |
Real period |
R |
3.4735143416221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14800i1 59200bv1 66600x1 7400d1 |
Quadratic twists by: -4 8 -3 5 |