Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650bs |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-4.637011313792E+19 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-789588,-424644208] |
[a1,a2,a3,a4,a6] |
Generators |
[1462:38594:1] |
Generators of the group modulo torsion |
j |
-16254134809/13844480 |
j-invariant |
L |
11.479444837637 |
L(r)(E,1)/r! |
Ω |
0.077305676186794 |
Real period |
R |
0.88389407041017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730g1 78650l1 |
Quadratic twists by: 5 -11 |