Atkin-Lehner |
2+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10982a |
Isogeny class |
Conductor |
10982 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
9480464700992 = 26 · 177 · 192 |
Discriminant |
Eigenvalues |
2+ 0 -4 2 -4 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36179,-2635531] |
[a1,a2,a3,a4,a6] |
j |
216973458729/392768 |
j-invariant |
L |
0.69240799207272 |
L(r)(E,1)/r! |
Ω |
0.34620399603636 |
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 |
87856f1 98838bo1 646a1 |
Quadratic twists by: -4 -3 17 |