Atkin-Lehner |
3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775dq |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33120 |
Modular degree for the optimal curve |
Δ |
-3732421875 = -1 · 3 · 59 · 72 · 13 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 0 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,292,-2131] |
[a1,a2,a3,a4,a6] |
Generators |
[12676986:62153279:941192] |
Generators of the group modulo torsion |
j |
28672/39 |
j-invariant |
L |
14.935900628094 |
L(r)(E,1)/r! |
Ω |
0.74504813538004 |
Real period |
R |
10.023446753852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47775bj1 47775y1 |
Quadratic twists by: 5 -7 |