Atkin-Lehner |
2+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106856a |
Isogeny class |
Conductor |
106856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
445618584832 = 28 · 196 · 37 |
Discriminant |
Eigenvalues |
2+ 1 0 -3 -3 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12033,-511069] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:26:1] [139:722:1] |
Generators of the group modulo torsion |
j |
16000000/37 |
j-invariant |
L |
12.063080874171 |
L(r)(E,1)/r! |
Ω |
0.45589351516218 |
Real period |
R |
3.3075379647865 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
296b1 |
Quadratic twists by: -19 |