Atkin-Lehner |
2+ 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44286b |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
114400 |
Modular degree for the optimal curve |
Δ |
-995929076736 = -1 · 210 · 32 · 116 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -3 3 11- 5 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3874,-106124] |
[a1,a2,a3,a4,a6] |
j |
-3630961153/562176 |
j-invariant |
L |
1.2000139307422 |
L(r)(E,1)/r! |
Ω |
0.30000348266047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
366g1 |
Quadratic twists by: -11 |