Atkin-Lehner |
2- 3+ 43+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
31476b |
Isogeny class |
Conductor |
31476 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
18130176 = 28 · 33 · 43 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 -4 5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69,-63] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] |
Generators of the group modulo torsion |
j |
143982592/70821 |
j-invariant |
L |
6.0636177344971 |
L(r)(E,1)/r! |
Ω |
1.73956414878 |
Real period |
R |
1.1619036371361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125904w1 94428f1 |
Quadratic twists by: -4 -3 |