Atkin-Lehner |
2+ 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125856o |
Isogeny class |
Conductor |
125856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-30012125184 = -1 · 212 · 36 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 3 2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-696,-10928] |
[a1,a2,a3,a4,a6] |
Generators |
[488:10764:1] |
Generators of the group modulo torsion |
j |
-12487168/10051 |
j-invariant |
L |
9.0490658865482 |
L(r)(E,1)/r! |
Ω |
0.44929469788465 |
Real period |
R |
2.51757529029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125856h1 13984k1 |
Quadratic twists by: -4 -3 |