Atkin-Lehner |
2+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
114400c |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
27221708800 = 212 · 52 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-813,4357] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:52:1] [3:44:1] |
Generators of the group modulo torsion |
j |
581071360/265837 |
j-invariant |
L |
9.6494115756248 |
L(r)(E,1)/r! |
Ω |
1.0624267070652 |
Real period |
R |
0.75686880422231 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114400e1 114400bc1 |
Quadratic twists by: -4 5 |