Atkin-Lehner |
7- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
58261m |
Isogeny class |
Conductor |
58261 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
191296 |
Modular degree for the optimal curve |
Δ |
-242585010533467 = -1 · 73 · 297 · 41 |
Discriminant |
Eigenvalues |
1 0 0 7- -3 7 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78857,-8536508] |
[a1,a2,a3,a4,a6] |
j |
-158107853561565375/707244928669 |
j-invariant |
L |
1.9937515680034 |
L(r)(E,1)/r! |
Ω |
0.14241082623282 |
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 |
58261k2 |
Quadratic twists by: -7 |