Atkin-Lehner |
2+ 3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150c |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6.5526751827504E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4418475,1547398125] |
[a1,a2,a3,a4,a6] |
j |
610549301534093096111/419371211696025600 |
j-invariant |
L |
0.6740407368856 |
L(r)(E,1)/r! |
Ω |
0.084255092089041 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230bb2 |
Quadratic twists by: 5 |