Atkin-Lehner |
7- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
123403i |
Isogeny class |
Conductor |
123403 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
172224 |
Modular degree for the optimal curve |
Δ |
505030356187 = 73 · 176 · 61 |
Discriminant |
Eigenvalues |
-1 -1 0 7- 5 4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8098,-281772] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:71:1] |
Generators of the group modulo torsion |
j |
2433138625/20923 |
j-invariant |
L |
3.3560461726731 |
L(r)(E,1)/r! |
Ω |
0.50353554900998 |
Real period |
R |
2.2216545581159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000088732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
427c1 |
Quadratic twists by: 17 |