Atkin-Lehner |
2+ 3- 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
25530q |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
85248 |
Modular degree for the optimal curve |
Δ |
7134358500 = 22 · 36 · 53 · 232 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-70258,7161968] |
[a1,a2,a3,a4,a6] |
j |
38353250292246281881/7134358500 |
j-invariant |
L |
2.0913415699204 |
L(r)(E,1)/r! |
Ω |
1.0456707849604 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
76590cc1 127650ch1 |
Quadratic twists by: -3 5 |