Atkin-Lehner |
2+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70642d |
Isogeny class |
Conductor |
70642 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
243360 |
Modular degree for the optimal curve |
Δ |
-90905263235072 = -1 · 213 · 112 · 136 · 19 |
Discriminant |
Eigenvalues |
2+ -1 2 3 11- 13+ -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,11151,-66347] |
[a1,a2,a3,a4,a6] |
j |
31764658463/18833408 |
j-invariant |
L |
0.70571264503934 |
L(r)(E,1)/r! |
Ω |
0.35285633250239 |
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 |
418b1 |
Quadratic twists by: 13 |