Atkin-Lehner |
2+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
118096i |
Isogeny class |
Conductor |
118096 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
1889536 = 28 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 1 3 2 11- -3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-249,-1597] |
[a1,a2,a3,a4,a6] |
Generators |
[-1240014:142921:132651] |
Generators of the group modulo torsion |
j |
55340032/61 |
j-invariant |
L |
10.966748419474 |
L(r)(E,1)/r! |
Ω |
1.2015261070617 |
Real period |
R |
9.1273492342685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59048g1 118096f1 |
Quadratic twists by: -4 -11 |