Atkin-Lehner |
2+ 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
73408s |
Isogeny class |
Conductor |
73408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
582565888 = 214 · 312 · 37 |
Discriminant |
Eigenvalues |
2+ 3 2 1 1 -6 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2944,61472] |
[a1,a2,a3,a4,a6] |
Generators |
[7206:4247:216] |
Generators of the group modulo torsion |
j |
172233326592/35557 |
j-invariant |
L |
13.819423018123 |
L(r)(E,1)/r! |
Ω |
1.5878733493689 |
Real period |
R |
4.3515507777957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000831 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73408bd1 4588f1 |
Quadratic twists by: -4 8 |