Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73080i |
Isogeny class |
Conductor |
73080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
438745168587600 = 24 · 38 · 52 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26778,-1352423] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:315:1] |
Generators of the group modulo torsion |
j |
182058354374656/37615326525 |
j-invariant |
L |
5.6013207741597 |
L(r)(E,1)/r! |
Ω |
0.3786387865734 |
Real period |
R |
0.92458184619946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360bb1 |
Quadratic twists by: -3 |