Atkin-Lehner |
5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
10325a |
Isogeny class |
Conductor |
10325 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
18600 |
Modular degree for the optimal curve |
Δ |
14039580078125 = 510 · 7 · 593 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9583,-309682] |
[a1,a2,a3,a4,a6] |
j |
9967206400/1437653 |
j-invariant |
L |
1.4615033065864 |
L(r)(E,1)/r! |
Ω |
0.48716776886212 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92925e1 10325f1 72275d1 |
Quadratic twists by: -3 5 -7 |