Atkin-Lehner |
2- 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
126412c |
Isogeny class |
Conductor |
126412 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-4346558298368 = -1 · 28 · 112 · 134 · 173 |
Discriminant |
Eigenvalues |
2- 1 0 -1 11+ 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1972,-93820] |
[a1,a2,a3,a4,a6] |
Generators |
[212:3146:1] |
Generators of the group modulo torsion |
j |
115934000/594473 |
j-invariant |
L |
6.6951683621046 |
L(r)(E,1)/r! |
Ω |
0.39060237637982 |
Real period |
R |
2.8567706290286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999750279 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
126412g1 |
Quadratic twists by: 13 |