Atkin-Lehner |
3- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
66063g |
Isogeny class |
Conductor |
66063 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
744192 |
Modular degree for the optimal curve |
Δ |
6797178583832061 = 38 · 198 · 61 |
Discriminant |
Eigenvalues |
2 3- -1 2 0 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-276646,-55957691] |
[a1,a2,a3,a4,a6] |
Generators |
[-808346:674675:2744] |
Generators of the group modulo torsion |
j |
137869963264/400221 |
j-invariant |
L |
15.532704729357 |
L(r)(E,1)/r! |
Ω |
0.20820641528732 |
Real period |
R |
9.3253038743191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66063e1 |
Quadratic twists by: -19 |