Atkin-Lehner |
2+ 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600h |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
7442625005892000000 = 28 · 314 · 56 · 733 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3168908,2168349312] |
[a1,a2,a3,a4,a6] |
j |
879817812976081744/1860656251473 |
j-invariant |
L |
1.4119098750278 |
L(r)(E,1)/r! |
Ω |
0.23531830429054 |
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 |
43800p1 3504h1 |
Quadratic twists by: -4 5 |