Atkin-Lehner |
2+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
77248g |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
13882982360154112 = 227 · 172 · 713 |
Discriminant |
Eigenvalues |
2+ -1 0 -1 6 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66433,-3339391] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:1207:1] [481:-8704:1] |
Generators of the group modulo torsion |
j |
123692088390625/52959374848 |
j-invariant |
L |
9.2622044476496 |
L(r)(E,1)/r! |
Ω |
0.30909030380071 |
Real period |
R |
1.2485839270341 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77248n1 2414e1 |
Quadratic twists by: -4 8 |