Atkin-Lehner |
7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
5551c |
Isogeny class |
Conductor |
5551 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-137397846859 = -1 · 75 · 133 · 612 |
Discriminant |
Eigenvalues |
-2 -2 -1 7- -6 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3606,84042] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:396:1] [12:206:1] |
Generators of the group modulo torsion |
j |
-5187060462628864/137397846859 |
j-invariant |
L |
1.9917684235368 |
L(r)(E,1)/r! |
Ω |
1.0336258310759 |
Real period |
R |
0.064232412531148 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88816l1 49959l1 38857a1 72163d1 |
Quadratic twists by: -4 -3 -7 13 |