Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98192k |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
4843927395004055552 = 224 · 17 · 198 |
Discriminant |
Eigenvalues |
2- 0 -2 2 2 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2343251,1376560146] |
[a1,a2,a3,a4,a6] |
Generators |
[18335:2474294:1] |
Generators of the group modulo torsion |
j |
7384117376817/25137152 |
j-invariant |
L |
6.0401543350888 |
L(r)(E,1)/r! |
Ω |
0.24451703727068 |
Real period |
R |
6.1755965989599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12274b1 5168c1 |
Quadratic twists by: -4 -19 |