Atkin-Lehner |
2+ 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350bd |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
1.4269474141268E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-406253501,-2574921093352] |
[a1,a2,a3,a4,a6] |
Generators |
[-15069:-346274:1] |
Generators of the group modulo torsion |
j |
474564267274902411539943361/91324634504115600000000 |
j-invariant |
L |
6.1238402860295 |
L(r)(E,1)/r! |
Ω |
0.034077645179431 |
Real period |
R |
2.8078525955997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9870p3 |
Quadratic twists by: 5 |