Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98192j |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-201097216 = -1 · 215 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 0 1 -4 2 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,133,-342] |
[a1,a2,a3,a4,a6] |
Generators |
[23:122:1] |
Generators of the group modulo torsion |
j |
175959/136 |
j-invariant |
L |
5.3699913121901 |
L(r)(E,1)/r! |
Ω |
0.99496118657473 |
Real period |
R |
2.6985933675976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887802 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12274l1 98192g1 |
Quadratic twists by: -4 -19 |