Atkin-Lehner |
2- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
31808bb |
Isogeny class |
Conductor |
31808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
521142272 = 220 · 7 · 71 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 2 -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-705,-7361] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:8:1] [33:80:1] |
Generators of the group modulo torsion |
j |
148035889/1988 |
j-invariant |
L |
4.7861017024189 |
L(r)(E,1)/r! |
Ω |
0.92715831770561 |
Real period |
R |
5.1621191451573 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31808b1 7952j1 |
Quadratic twists by: -4 8 |