Atkin-Lehner |
3- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
15399c |
Isogeny class |
Conductor |
15399 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
33677613 = 39 · 29 · 59 |
Discriminant |
Eigenvalues |
0 3- 2 -5 -2 -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-84,99] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:13:1] [9:8:1] |
Generators of the group modulo torsion |
j |
89915392/46197 |
j-invariant |
L |
5.7896950979346 |
L(r)(E,1)/r! |
Ω |
1.8263693539135 |
Real period |
R |
0.79251426957104 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5133b1 |
Quadratic twists by: -3 |