Atkin-Lehner |
2- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57596g |
Isogeny class |
Conductor |
57596 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-29089201689856 = -1 · 28 · 73 · 117 · 17 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 11- 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3348,-247436] |
[a1,a2,a3,a4,a6] |
Generators |
[51:242:1] [95:968:1] |
Generators of the group modulo torsion |
j |
9148592/64141 |
j-invariant |
L |
5.6467152027368 |
L(r)(E,1)/r! |
Ω |
0.33030089059724 |
Real period |
R |
4.2739176334955 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5236c1 |
Quadratic twists by: -11 |