Atkin-Lehner |
3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
32025g |
Isogeny class |
Conductor |
32025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
2501953125 = 3 · 59 · 7 · 61 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 5 -5 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-533,-3907] |
[a1,a2,a3,a4,a6] |
j |
1073741824/160125 |
j-invariant |
L |
2.0067601023151 |
L(r)(E,1)/r! |
Ω |
1.0033800511585 |
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 |
96075bc1 6405i1 |
Quadratic twists by: -3 5 |