Atkin-Lehner |
2+ 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7410g |
Isogeny class |
Conductor |
7410 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-3249744244531200000 = -1 · 216 · 34 · 55 · 134 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,316758,53180244] |
[a1,a2,a3,a4,a6] |
j |
3514830176602998440279/3249744244531200000 |
j-invariant |
L |
1.6466249114612 |
L(r)(E,1)/r! |
Ω |
0.16466249114612 |
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 |
59280cb1 22230bj1 37050cg1 96330ce1 |
Quadratic twists by: -4 -3 5 13 |