Atkin-Lehner |
2- 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640bn |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
34606001848320000 = 218 · 310 · 54 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-734840,-242048400] |
[a1,a2,a3,a4,a6] |
j |
10713779912717312761/8448730920000 |
j-invariant |
L |
2.6091060709735 |
L(r)(E,1)/r! |
Ω |
0.16306917246348 |
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 |
15330j1 |
Quadratic twists by: -4 |