Atkin-Lehner |
2- 3- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
113100r |
Isogeny class |
Conductor |
113100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
38171250000 = 24 · 34 · 57 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15633,-757512] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:3:1] |
Generators of the group modulo torsion |
j |
1690201440256/152685 |
j-invariant |
L |
5.7595294135864 |
L(r)(E,1)/r! |
Ω |
0.42696179118222 |
Real period |
R |
2.2482610562631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620d1 |
Quadratic twists by: 5 |