Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98192m |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-854663168 = -1 · 213 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 1 -2 2 1 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-424,-3788] |
[a1,a2,a3,a4,a6] |
Generators |
[36:170:1] |
Generators of the group modulo torsion |
j |
-5714497/578 |
j-invariant |
L |
7.4065924277807 |
L(r)(E,1)/r! |
Ω |
0.52295135418854 |
Real period |
R |
1.7703827428715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12274c1 98192h1 |
Quadratic twists by: -4 -19 |