Atkin-Lehner |
2+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
51442b |
Isogeny class |
Conductor |
51442 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
35196823814144 = 214 · 176 · 89 |
Discriminant |
Eigenvalues |
2+ -2 -2 0 0 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12867,482750] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:778:1] [-1:704:1] |
Generators of the group modulo torsion |
j |
9759185353/1458176 |
j-invariant |
L |
4.2246375516715 |
L(r)(E,1)/r! |
Ω |
0.62583525194635 |
Real period |
R |
3.3751994143279 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
178b1 |
Quadratic twists by: 17 |