Atkin-Lehner |
5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18515a |
Isogeny class |
Conductor |
18515 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
3240125 = 53 · 72 · 232 |
Discriminant |
Eigenvalues |
0 -2 5+ 7+ 3 -4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-61,-184] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:1:1] [-4:3:1] |
Generators of the group modulo torsion |
j |
48234496/6125 |
j-invariant |
L |
4.092812070536 |
L(r)(E,1)/r! |
Ω |
1.7202354894393 |
Real period |
R |
1.1896080785632 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92575p1 129605w1 18515l1 |
Quadratic twists by: 5 -7 -23 |