Atkin-Lehner |
2- 3+ 7+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30702p |
Isogeny class |
Conductor |
30702 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1822720 |
Modular degree for the optimal curve |
Δ |
-1.3140961287177E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4412009,-3972399289] |
[a1,a2,a3,a4,a6] |
j |
-9498015791763047716574737/1314096128717684998896 |
j-invariant |
L |
0.82699895352778 |
L(r)(E,1)/r! |
Ω |
0.051687434595703 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92106n1 |
Quadratic twists by: -3 |