Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98192n |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-3890129808128 = -1 · 28 · 17 · 197 |
Discriminant |
Eigenvalues |
2- 1 -2 -4 -2 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3851,24655] |
[a1,a2,a3,a4,a6] |
Generators |
[63:722:1] |
Generators of the group modulo torsion |
j |
524288/323 |
j-invariant |
L |
2.0061430883994 |
L(r)(E,1)/r! |
Ω |
0.48411681121868 |
Real period |
R |
1.0359808971028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000073992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24548b1 5168g1 |
Quadratic twists by: -4 -19 |