Atkin-Lehner |
2- 3- 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
27738o |
Isogeny class |
Conductor |
27738 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
485304048 = 24 · 39 · 23 · 67 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 5 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1148,-14641] |
[a1,a2,a3,a4,a6] |
j |
229333309561/665712 |
j-invariant |
L |
6.5631058514426 |
L(r)(E,1)/r! |
Ω |
0.82038823143046 |
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 |
9246b1 |
Quadratic twists by: -3 |