Atkin-Lehner |
2+ 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125856n |
Isogeny class |
Conductor |
125856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-468939456 = -1 · 26 · 36 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,159,700] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:14:1] |
Generators of the group modulo torsion |
j |
9528128/10051 |
j-invariant |
L |
5.1387871856675 |
L(r)(E,1)/r! |
Ω |
1.1010077819822 |
Real period |
R |
2.3336743002932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000107415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125856be1 13984j1 |
Quadratic twists by: -4 -3 |