Atkin-Lehner |
2+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18326d |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
4434965175718 = 2 · 78 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 11- 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21831,1235532] |
[a1,a2,a3,a4,a6] |
j |
199586739625/769318 |
j-invariant |
L |
1.5585480236122 |
L(r)(E,1)/r! |
Ω |
0.77927401180609 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
18326s1 |
Quadratic twists by: -7 |