Atkin-Lehner |
2- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
87412b |
Isogeny class |
Conductor |
87412 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
743904 |
Modular degree for the optimal curve |
Δ |
280686091654061392 = 24 · 133 · 418 |
Discriminant |
Eigenvalues |
2- 1 -2 2 -2 13+ 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-183789,-16492540] |
[a1,a2,a3,a4,a6] |
Generators |
[-10095:8405:27] |
Generators of the group modulo torsion |
j |
5373952/2197 |
j-invariant |
L |
6.3853488371204 |
L(r)(E,1)/r! |
Ω |
0.2389849036864 |
Real period |
R |
2.9687364882836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87412d1 |
Quadratic twists by: 41 |