Atkin-Lehner |
3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
65025r |
Isogeny class |
Conductor |
65025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
954720 |
Modular degree for the optimal curve |
Δ |
1839311044013671875 = 33 · 510 · 178 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 4 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-575742,155114541] |
[a1,a2,a3,a4,a6] |
j |
11475 |
j-invariant |
L |
2.0590597871536 |
L(r)(E,1)/r! |
Ω |
0.25738247431634 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65025u1 65025bd1 65025g1 |
Quadratic twists by: -3 5 17 |