Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7650bv |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-50761728000000000 = -1 · 221 · 36 · 59 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,89770,3191397] |
[a1,a2,a3,a4,a6] |
Generators |
[9:1995:1] |
Generators of the group modulo torsion |
j |
7023836099951/4456448000 |
j-invariant |
L |
5.9559787416829 |
L(r)(E,1)/r! |
Ω |
0.2213472739441 |
Real period |
R |
0.32033152053847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200et1 850a1 1530g1 |
Quadratic twists by: -4 -3 5 |