Atkin-Lehner |
5- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
53465f |
Isogeny class |
Conductor |
53465 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
4465450265 = 5 · 176 · 37 |
Discriminant |
Eigenvalues |
1 2 5- 2 0 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1017,-12496] |
[a1,a2,a3,a4,a6] |
Generators |
[4134174480:151790624963:2985984] |
Generators of the group modulo torsion |
j |
4826809/185 |
j-invariant |
L |
12.161276681214 |
L(r)(E,1)/r! |
Ω |
0.84730078623873 |
Real period |
R |
14.352962818755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
185c1 |
Quadratic twists by: 17 |