Atkin-Lehner |
3- 5- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
30015k |
Isogeny class |
Conductor |
30015 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
17122560 |
Modular degree for the optimal curve |
Δ |
4.703142451065E+28 |
Discriminant |
Eigenvalues |
0 3- 5- -3 4 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-937869672,-3653181401733] |
[a1,a2,a3,a4,a6] |
j |
125147927114815865709295304704/64514985611316331088611125 |
j-invariant |
L |
2.2500466619702 |
L(r)(E,1)/r! |
Ω |
0.028846752076519 |
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 |
10005m1 |
Quadratic twists by: -3 |