Atkin-Lehner |
2- 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
76860p |
Isogeny class |
Conductor |
76860 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
144480 |
Modular degree for the optimal curve |
Δ |
-15190610400000 = -1 · 28 · 36 · 55 · 7 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5688,88884] |
[a1,a2,a3,a4,a6] |
j |
109052338176/81396875 |
j-invariant |
L |
4.4711200288425 |
L(r)(E,1)/r! |
Ω |
0.44711200487865 |
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 |
8540e1 |
Quadratic twists by: -3 |