Atkin-Lehner |
3+ 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
65415a |
Isogeny class |
Conductor |
65415 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-1374545747277675 = -1 · 37 · 52 · 710 · 89 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 0 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,9539,-1750533] |
[a1,a2,a3,a4,a6] |
j |
815827779584/11683446075 |
j-invariant |
L |
0.94146765893037 |
L(r)(E,1)/r! |
Ω |
0.23536691417626 |
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 |
9345d1 |
Quadratic twists by: -7 |