Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
62496r |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
417125712157765632 = 212 · 38 · 75 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-772140,-259296032] |
[a1,a2,a3,a4,a6] |
Generators |
[-534:868:1] [-478:756:1] |
Generators of the group modulo torsion |
j |
17050000247272000/139694557023 |
j-invariant |
L |
9.9108251912665 |
L(r)(E,1)/r! |
Ω |
0.16113510050164 |
Real period |
R |
0.76882885544692 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999862 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62496be2 124992dc1 20832bg2 |
Quadratic twists by: -4 8 -3 |