Atkin-Lehner |
2- 3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224cj |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
370944 |
Modular degree for the optimal curve |
Δ |
-2038269536894976 = -1 · 218 · 3 · 7 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11- 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26560,-1384908] |
[a1,a2,a3,a4,a6] |
j |
505861496763839/497624398656 |
j-invariant |
L |
3.5489444199118 |
L(r)(E,1)/r! |
Ω |
0.2534960305973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778m1 |
Quadratic twists by: -4 |