Atkin-Lehner |
2+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
114224d |
Isogeny class |
Conductor |
114224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-202354783664 = -1 · 24 · 118 · 59 |
Discriminant |
Eigenvalues |
2+ 1 3 -1 11- 4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,81,21668] |
[a1,a2,a3,a4,a6] |
Generators |
[-113152:442618:4913] |
Generators of the group modulo torsion |
j |
2048/7139 |
j-invariant |
L |
11.21187653781 |
L(r)(E,1)/r! |
Ω |
0.78836109909747 |
Real period |
R |
7.1108763344813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999755739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57112a1 10384a1 |
Quadratic twists by: -4 -11 |