Atkin-Lehner |
2- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35264bg |
Isogeny class |
Conductor |
35264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-1022656 = -1 · 26 · 19 · 292 |
Discriminant |
Eigenvalues |
2- -2 1 1 1 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-465,-4019] |
[a1,a2,a3,a4,a6] |
Generators |
[300:5191:1] |
Generators of the group modulo torsion |
j |
-174115016704/15979 |
j-invariant |
L |
4.1752542116285 |
L(r)(E,1)/r! |
Ω |
0.51395622063233 |
Real period |
R |
4.0618773000659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35264f1 8816f1 |
Quadratic twists by: -4 8 |