Atkin-Lehner |
7- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
123403h |
Isogeny class |
Conductor |
123403 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2665600 |
Modular degree for the optimal curve |
Δ |
121579492857389819 = 75 · 179 · 61 |
Discriminant |
Eigenvalues |
-1 0 1 7- 0 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8370217,9322876942] |
[a1,a2,a3,a4,a6] |
Generators |
[-650:120693:1] |
Generators of the group modulo torsion |
j |
546881866244433/1025227 |
j-invariant |
L |
3.7997294931938 |
L(r)(E,1)/r! |
Ω |
0.28387023120625 |
Real period |
R |
1.3385445115602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000245885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123403b1 |
Quadratic twists by: 17 |