Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18216b |
Isogeny class |
Conductor |
18216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
239030352 = 24 · 310 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-786,8449] |
[a1,a2,a3,a4,a6] |
Generators |
[20:27:1] |
Generators of the group modulo torsion |
j |
4604090368/20493 |
j-invariant |
L |
4.1323936232458 |
L(r)(E,1)/r! |
Ω |
1.7683068365475 |
Real period |
R |
1.1684605685611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36432n1 6072l1 |
Quadratic twists by: -4 -3 |