Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110bi |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-1513870312500 = -1 · 22 · 32 · 58 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -1 13- 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1087,57656] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:202:1] |
Generators of the group modulo torsion |
j |
2902621910951/30895312500 |
j-invariant |
L |
5.1283646927851 |
L(r)(E,1)/r! |
Ω |
0.62439762094978 |
Real period |
R |
0.085555203539351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57330ei1 95550gl1 19110a1 |
Quadratic twists by: -3 5 -7 |