Atkin-Lehner |
2+ 3- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
26334r |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-8616294038951165952 = -1 · 232 · 38 · 7 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,319374,122879700] |
[a1,a2,a3,a4,a6] |
j |
4941901578364226783/11819333386764288 |
j-invariant |
L |
2.5889033670054 |
L(r)(E,1)/r! |
Ω |
0.16180646043785 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8778q1 |
Quadratic twists by: -3 |