Atkin-Lehner |
2- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
30926g |
Isogeny class |
Conductor |
30926 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-14525898109915136 = -1 · 212 · 7 · 477 |
Discriminant |
Eigenvalues |
2- -1 1 7+ 5 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,52970,3428883] |
[a1,a2,a3,a4,a6] |
Generators |
[27:2195:1] |
Generators of the group modulo torsion |
j |
1524845951/1347584 |
j-invariant |
L |
7.1152914115243 |
L(r)(E,1)/r! |
Ω |
0.25731628549073 |
Real period |
R |
1.1521636685948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
658d1 |
Quadratic twists by: -47 |