Atkin-Lehner |
2+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
49096c |
Isogeny class |
Conductor |
49096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
818974696448 = 210 · 17 · 196 |
Discriminant |
Eigenvalues |
2+ -2 0 0 2 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3008,45232] |
[a1,a2,a3,a4,a6] |
j |
62500/17 |
j-invariant |
L |
1.6664603073955 |
L(r)(E,1)/r! |
Ω |
0.83323015386891 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98192c1 136b1 |
Quadratic twists by: -4 -19 |