Atkin-Lehner |
2- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27376i |
Isogeny class |
Conductor |
27376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
56066048 = 215 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 2 2 2 5 -3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-232,1392] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:48:1] |
Generators of the group modulo torsion |
j |
338608873/13688 |
j-invariant |
L |
9.6965483280105 |
L(r)(E,1)/r! |
Ω |
1.9676948293951 |
Real period |
R |
1.2319680093624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3422d1 109504p1 |
Quadratic twists by: -4 8 |