Atkin-Lehner |
2- 5+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30940a |
Isogeny class |
Conductor |
30940 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12052800 |
Modular degree for the optimal curve |
Δ |
2.2029014694595E+23 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1040508901,-12918273942990] |
[a1,a2,a3,a4,a6] |
j |
7786479222357567962816246185984/13768134184121975328125 |
j-invariant |
L |
3.2164256817179 |
L(r)(E,1)/r! |
Ω |
0.026582030427432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123760ba1 |
Quadratic twists by: -4 |