Atkin-Lehner |
2- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
114224l |
Isogeny class |
Conductor |
114224 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
209088 |
Modular degree for the optimal curve |
Δ |
-51802824617984 = -1 · 212 · 118 · 59 |
Discriminant |
Eigenvalues |
2- -1 2 -3 11- 2 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14197,742205] |
[a1,a2,a3,a4,a6] |
Generators |
[-6940:63835:64] |
Generators of the group modulo torsion |
j |
-360448/59 |
j-invariant |
L |
4.8950735501782 |
L(r)(E,1)/r! |
Ω |
0.60906708042411 |
Real period |
R |
8.0370022783204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7139c1 114224k1 |
Quadratic twists by: -4 -11 |