Atkin-Lehner |
2+ 3+ 7+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29946c |
Isogeny class |
Conductor |
29946 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
22320 |
Modular degree for the optimal curve |
Δ |
-211298976 = -1 · 25 · 33 · 73 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ -2 -6 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-854,-9996] |
[a1,a2,a3,a4,a6] |
j |
-69006766551913/211298976 |
j-invariant |
L |
0.44142737335478 |
L(r)(E,1)/r! |
Ω |
0.4414273733574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89838z1 |
Quadratic twists by: -3 |