Atkin-Lehner |
2- 3+ 23+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
36846o |
Isogeny class |
Conductor |
36846 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
129888 |
Modular degree for the optimal curve |
Δ |
-474757094965248 = -1 · 233 · 33 · 23 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 3 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3070,1045505] |
[a1,a2,a3,a4,a6] |
j |
118551673828125/17583596109824 |
j-invariant |
L |
2.9673711482685 |
L(r)(E,1)/r! |
Ω |
0.40464152022169 |
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 |
36846e2 |
Quadratic twists by: -3 |