Atkin-Lehner |
3+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
66063a |
Isogeny class |
Conductor |
66063 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28512 |
Modular degree for the optimal curve |
Δ |
71546229 = 32 · 194 · 61 |
Discriminant |
Eigenvalues |
-2 3+ 1 0 -4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-120,344] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:129:8] [-6:28:1] |
Generators of the group modulo torsion |
j |
1478656/549 |
j-invariant |
L |
4.5187739208429 |
L(r)(E,1)/r! |
Ω |
1.7781242634973 |
Real period |
R |
0.42355250545672 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66063i1 |
Quadratic twists by: -19 |