Atkin-Lehner |
2+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17864i |
Isogeny class |
Conductor |
17864 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
59840 |
Modular degree for the optimal curve |
Δ |
25269735568 = 24 · 7 · 11 · 295 |
Discriminant |
Eigenvalues |
2+ -1 4 7- 11- 5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88716,-10141187] |
[a1,a2,a3,a4,a6] |
j |
4826301862836722944/1579358473 |
j-invariant |
L |
2.7662961174403 |
L(r)(E,1)/r! |
Ω |
0.27662961174403 |
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 |
35728g1 125048k1 |
Quadratic twists by: -4 -7 |