Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113256by |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-378224475273216 = -1 · 211 · 36 · 117 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-157179,24003254] |
[a1,a2,a3,a4,a6] |
Generators |
[1826:1089:8] |
Generators of the group modulo torsion |
j |
-162365474/143 |
j-invariant |
L |
4.9439633527084 |
L(r)(E,1)/r! |
Ω |
0.53205883734196 |
Real period |
R |
2.3230341369174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999969119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12584g1 10296f1 |
Quadratic twists by: -3 -11 |