Atkin-Lehner |
2- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
57596h |
Isogeny class |
Conductor |
57596 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
-40547584 = -1 · 28 · 7 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 11+ -5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-143,726] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:34:1] [11:22:1] |
Generators of the group modulo torsion |
j |
-949104/119 |
j-invariant |
L |
9.234908028565 |
L(r)(E,1)/r! |
Ω |
1.979223301835 |
Real period |
R |
0.77765421247164 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57596a1 |
Quadratic twists by: -11 |