Atkin-Lehner |
2+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51376j |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-7840203312441344 = -1 · 211 · 139 · 192 |
Discriminant |
Eigenvalues |
2+ -1 -1 1 2 13- -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27096,4602064] |
[a1,a2,a3,a4,a6] |
Generators |
[282:4394:1] |
Generators of the group modulo torsion |
j |
-101306/361 |
j-invariant |
L |
4.0402060327028 |
L(r)(E,1)/r! |
Ω |
0.3640841231706 |
Real period |
R |
1.3871128180342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25688c1 51376g1 |
Quadratic twists by: -4 13 |