Atkin-Lehner |
2- 3- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
30660q |
Isogeny class |
Conductor |
30660 |
Conductor |
∏ cp |
308 |
Product of Tamagawa factors cp |
deg |
2772000 |
Modular degree for the optimal curve |
Δ |
-7.1699719578915E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4621715,-12300745600] |
[a1,a2,a3,a4,a6] |
j |
682359305574583527931904/4481232473682173671875 |
j-invariant |
L |
4.2029485976029 |
L(r)(E,1)/r! |
Ω |
0.054583748020868 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122640bl1 91980k1 |
Quadratic twists by: -4 -3 |