Atkin-Lehner |
2+ 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24150g |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
24495345000000 = 26 · 33 · 57 · 73 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25650,1552500] |
[a1,a2,a3,a4,a6] |
j |
119451676585249/1567702080 |
j-invariant |
L |
1.3497303619611 |
L(r)(E,1)/r! |
Ω |
0.67486518098055 |
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 |
72450dp1 4830be1 |
Quadratic twists by: -3 5 |