Atkin-Lehner |
3- 5+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
126825s |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8346240 |
Modular degree for the optimal curve |
Δ |
-1883589046875 = -1 · 32 · 56 · 19 · 893 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -5 1 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-152761038,-726732566433] |
[a1,a2,a3,a4,a6] |
Generators |
[583394366428983:223912421628882165:3921887033] |
Generators of the group modulo torsion |
j |
-25231408121333628493036057/120549699 |
j-invariant |
L |
2.9813537329274 |
L(r)(E,1)/r! |
Ω |
0.021471698922229 |
Real period |
R |
23.141731384227 |
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 |
5073d1 |
Quadratic twists by: 5 |