Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078cl |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-16667346172529052 = -1 · 22 · 36 · 72 · 11 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,63794,-319129] |
[a1,a2,a3,a4,a6] |
Generators |
[94383670:2067680523:405224] |
Generators of the group modulo torsion |
j |
5948434379159/3453077628 |
j-invariant |
L |
12.013950403612 |
L(r)(E,1)/r! |
Ω |
0.23156151748902 |
Real period |
R |
12.970581783408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006e1 |
Quadratic twists by: 13 |