Atkin-Lehner |
2+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22022c |
Isogeny class |
Conductor |
22022 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5854464 |
Modular degree for the optimal curve |
Δ |
6.4817628220768E+24 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ 11- 13+ -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-51223174,-70071608812] |
[a1,a2,a3,a4,a6] |
j |
69339658923044214793/30237901932679168 |
j-invariant |
L |
0.70474450752014 |
L(r)(E,1)/r! |
Ω |
0.058728708960009 |
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 |
22022v1 |
Quadratic twists by: -11 |