Atkin-Lehner |
2- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
30926i |
Isogeny class |
Conductor |
30926 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-865928 = -1 · 23 · 72 · 472 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ -4 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1,45] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-8:1] |
Generators of the group modulo torsion |
j |
47/392 |
j-invariant |
L |
4.3617500417003 |
L(r)(E,1)/r! |
Ω |
2.2145654332104 |
Real period |
R |
0.32826229895115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30926h1 |
Quadratic twists by: -47 |