Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18216b |
Isogeny class |
Conductor |
18216 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6893706175488 = -1 · 210 · 37 · 11 · 234 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4749,-9506] |
[a1,a2,a3,a4,a6] |
Generators |
[178:2619:8] |
Generators of the group modulo torsion |
j |
15867289148/9234753 |
j-invariant |
L |
4.1323936232458 |
L(r)(E,1)/r! |
Ω |
0.44207670913689 |
Real period |
R |
4.6738422742445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36432n3 6072l4 |
Quadratic twists by: -4 -3 |