Atkin-Lehner |
2- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57536w |
Isogeny class |
Conductor |
57536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-25655532544 = -1 · 210 · 292 · 313 |
Discriminant |
Eigenvalues |
2- -2 3 1 0 4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-249,-7937] |
[a1,a2,a3,a4,a6] |
Generators |
[6930:48691:125] |
Generators of the group modulo torsion |
j |
-1674035968/25054231 |
j-invariant |
L |
5.9018016435375 |
L(r)(E,1)/r! |
Ω |
0.51062164032179 |
Real period |
R |
5.7790359606975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57536n1 14384c1 |
Quadratic twists by: -4 8 |