Atkin-Lehner |
2+ 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
78792a |
Isogeny class |
Conductor |
78792 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-3242337444864 = -1 · 210 · 39 · 74 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 6 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3544,119932] |
[a1,a2,a3,a4,a6] |
j |
-2002789348/1318761 |
j-invariant |
L |
4.410972552729 |
L(r)(E,1)/r! |
Ω |
0.73516209794653 |
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 |
78792n1 |
Quadratic twists by: -7 |