Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400dc |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-7846745314842126000 = -1 · 24 · 32 · 53 · 75 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-777243,295924968] |
[a1,a2,a3,a4,a6] |
j |
-25963589461091772416/3923372657421063 |
j-invariant |
L |
2.2588364097647 |
L(r)(E,1)/r! |
Ω |
0.22588364141222 |
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 |
46200t1 92400bf1 |
Quadratic twists by: -4 5 |