Atkin-Lehner |
2- 3- 11- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
79794bb |
Isogeny class |
Conductor |
79794 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1430016 |
Modular degree for the optimal curve |
Δ |
-249888183007072896 = -1 · 27 · 36 · 118 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3- -3 3 11- 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,146221,-10773773] |
[a1,a2,a3,a4,a6] |
Generators |
[1871:81586:1] |
Generators of the group modulo torsion |
j |
474272799173478423/342782144042624 |
j-invariant |
L |
8.439492869774 |
L(r)(E,1)/r! |
Ω |
0.17519492636395 |
Real period |
R |
0.43010728946755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8866c1 |
Quadratic twists by: -3 |