Atkin-Lehner |
3- 5+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
66975j |
Isogeny class |
Conductor |
66975 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
326592 |
Modular degree for the optimal curve |
Δ |
932831609203125 = 33 · 56 · 196 · 47 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 3 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-27058,-889706] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:541:1] |
Generators of the group modulo torsion |
j |
140218983313408/59701222989 |
j-invariant |
L |
3.9717213919036 |
L(r)(E,1)/r! |
Ω |
0.38676696334618 |
Real period |
R |
0.57050164393267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2679c1 |
Quadratic twists by: 5 |