Atkin-Lehner |
3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33489f |
Isogeny class |
Conductor |
33489 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
178560 |
Modular degree for the optimal curve |
Δ |
-2291059527459309 = -1 · 36 · 617 |
Discriminant |
Eigenvalues |
-1 3- 3 -1 -5 1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-67676,-7140076] |
[a1,a2,a3,a4,a6] |
j |
-912673/61 |
j-invariant |
L |
0.58972440089753 |
L(r)(E,1)/r! |
Ω |
0.14743110022685 |
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 |
3721a1 549c1 |
Quadratic twists by: -3 61 |