Atkin-Lehner |
2+ 3+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
2478a |
Isogeny class |
Conductor |
2478 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4547467008 = 28 · 36 · 7 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9590,-365484] |
[a1,a2,a3,a4,a6] |
j |
97555170295563625/4547467008 |
j-invariant |
L |
0.96487314005429 |
L(r)(E,1)/r! |
Ω |
0.48243657002714 |
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 |
19824w2 79296n2 7434f2 61950ci2 |
Quadratic twists by: -4 8 -3 5 |