Atkin-Lehner |
2- 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
113740f |
Isogeny class |
Conductor |
113740 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61056 |
Modular degree for the optimal curve |
Δ |
-400364800 = -1 · 28 · 52 · 113 · 47 |
Discriminant |
Eigenvalues |
2- 2 5- -5 11+ -1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,180,200] |
[a1,a2,a3,a4,a6] |
Generators |
[10:165:8] |
Generators of the group modulo torsion |
j |
1882384/1175 |
j-invariant |
L |
8.6134798326432 |
L(r)(E,1)/r! |
Ω |
1.043980941739 |
Real period |
R |
2.0626525603221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999802884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113740e1 |
Quadratic twists by: -11 |