Atkin-Lehner |
2+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30016o |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
30736384 = 216 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 2 -1 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1825,-29407] |
[a1,a2,a3,a4,a6] |
j |
10262905636/469 |
j-invariant |
L |
1.4608149170381 |
L(r)(E,1)/r! |
Ω |
0.73040745851878 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30016bk1 3752m1 |
Quadratic twists by: -4 8 |