Atkin-Lehner |
5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18515q |
Isogeny class |
Conductor |
18515 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-14175546875 = -1 · 57 · 73 · 232 |
Discriminant |
Eigenvalues |
-1 -3 5- 7- -5 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-732,9714] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:101:1] [7:66:1] |
Generators of the group modulo torsion |
j |
-81892654209/26796875 |
j-invariant |
L |
3.2446636122721 |
L(r)(E,1)/r! |
Ω |
1.1825889803113 |
Real period |
R |
0.1306521484919 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92575g1 129605k1 18515d1 |
Quadratic twists by: 5 -7 -23 |