Atkin-Lehner |
2+ 3+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
24282b |
Isogeny class |
Conductor |
24282 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
2787588991291392 = 212 · 39 · 193 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 0 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44754,2624084] |
[a1,a2,a3,a4,a6] |
j |
503655349106547/141624193024 |
j-invariant |
L |
0.84456591743991 |
L(r)(E,1)/r! |
Ω |
0.42228295871991 |
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 |
24282h1 |
Quadratic twists by: -3 |