Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775o |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-50790796875 = -1 · 36 · 56 · 73 · 13 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- -2 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,117,10793] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:94:1] |
Generators of the group modulo torsion |
j |
32768/9477 |
j-invariant |
L |
3.2962757701096 |
L(r)(E,1)/r! |
Ω |
0.87231621927674 |
Real period |
R |
0.94469061140419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1911e1 47775cb1 |
Quadratic twists by: 5 -7 |