Atkin-Lehner |
2- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
35872f |
Isogeny class |
Conductor |
35872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11008 |
Modular degree for the optimal curve |
Δ |
-10905088 = -1 · 29 · 192 · 59 |
Discriminant |
Eigenvalues |
2- -2 -4 -1 1 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-160,744] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:38:1] [-5:38:1] |
Generators of the group modulo torsion |
j |
-890277128/21299 |
j-invariant |
L |
4.58716591399 |
L(r)(E,1)/r! |
Ω |
2.2726465046255 |
Real period |
R |
0.50460618321572 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35872b1 71744g1 |
Quadratic twists by: -4 8 |