Atkin-Lehner |
2- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
112112bs |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-6064107585536 = -1 · 215 · 76 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -1 1 7- 11- 13- 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26280,1652848] |
[a1,a2,a3,a4,a6] |
Generators |
[84:-176:1] |
Generators of the group modulo torsion |
j |
-4165509529/12584 |
j-invariant |
L |
5.7441326882667 |
L(r)(E,1)/r! |
Ω |
0.75849542368206 |
Real period |
R |
0.94663271913608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14014c1 2288h1 |
Quadratic twists by: -4 -7 |