Atkin-Lehner |
2+ 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6762k |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
-83512873469088 = -1 · 25 · 39 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -3 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4681,456236] |
[a1,a2,a3,a4,a6] |
j |
-1967079625/14486688 |
j-invariant |
L |
1.5649231967127 |
L(r)(E,1)/r! |
Ω |
0.52164106557091 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
54096bd1 20286bv1 6762c1 |
Quadratic twists by: -4 -3 -7 |