Atkin-Lehner |
2+ 3+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050f |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2185920 |
Modular degree for the optimal curve |
Δ |
1762415820000000000 = 211 · 39 · 510 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ 5 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-849700,294274000] |
[a1,a2,a3,a4,a6] |
j |
6947384288239825/180471379968 |
j-invariant |
L |
2.1133257947177 |
L(r)(E,1)/r! |
Ω |
0.26416572394812 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61050ct1 |
Quadratic twists by: 5 |