Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218o |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
3384956736 = 26 · 33 · 7 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5037,137128] |
[a1,a2,a3,a4,a6] |
j |
50489872297/12096 |
j-invariant |
L |
2.7499751308571 |
L(r)(E,1)/r! |
Ω |
1.3749875654286 |
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 |
66654cb1 22218l1 |
Quadratic twists by: -3 -23 |