Atkin-Lehner |
2+ 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450g |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61102080 |
Modular degree for the optimal curve |
Δ |
-1.0825045023312E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -5 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16966160525,850589195500125] |
[a1,a2,a3,a4,a6] |
j |
-34566419909754166339572971333329/692802881491968000 |
j-invariant |
L |
0.26561833790123 |
L(r)(E,1)/r! |
Ω |
0.066404584201962 |
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 |
12090bc1 |
Quadratic twists by: 5 |