Atkin-Lehner |
2- 3+ 7- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89838q |
Isogeny class |
Conductor |
89838 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
191808 |
Modular degree for the optimal curve |
Δ |
-6214778306856 = -1 · 23 · 33 · 79 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 0 2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3224,139907] |
[a1,a2,a3,a4,a6] |
j |
-137220422977539/230176974328 |
j-invariant |
L |
4.0515339677619 |
L(r)(E,1)/r! |
Ω |
0.67525567001438 |
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 |
89838d2 |
Quadratic twists by: -3 |