Atkin-Lehner |
2- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
115192bb |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-169619135053550336 = -1 · 28 · 76 · 117 · 172 |
Discriminant |
Eigenvalues |
2- -3 1 7+ 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51788,19288852] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:4114:1] [177:5831:1] |
Generators of the group modulo torsion |
j |
33869988864/374006171 |
j-invariant |
L |
7.8874827958141 |
L(r)(E,1)/r! |
Ω |
0.23719188669831 |
Real period |
R |
2.0783496507808 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999969753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10472c1 |
Quadratic twists by: -11 |