Atkin-Lehner |
3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
63075f |
Isogeny class |
Conductor |
63075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1252800 |
Modular degree for the optimal curve |
Δ |
-586226265188671875 = -1 · 3 · 58 · 298 |
Discriminant |
Eigenvalues |
2 3+ 5+ -1 -4 6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,203242,-10709707] |
[a1,a2,a3,a4,a6] |
j |
118784/75 |
j-invariant |
L |
3.0033121028966 |
L(r)(E,1)/r! |
Ω |
0.16685067231375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12615g1 63075r1 |
Quadratic twists by: 5 29 |