Atkin-Lehner |
2+ 3+ 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
29574a |
Isogeny class |
Conductor |
29574 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
257760 |
Modular degree for the optimal curve |
Δ |
31823812002816 = 210 · 39 · 313 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-887856,322226432] |
[a1,a2,a3,a4,a6] |
j |
3932423625313440531/1616817152 |
j-invariant |
L |
1.6049130169425 |
L(r)(E,1)/r! |
Ω |
0.53497100564811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29574g1 |
Quadratic twists by: -3 |