Atkin-Lehner |
2- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83776v |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-6127717105664 = -1 · 214 · 76 · 11 · 172 |
Discriminant |
Eigenvalues |
2- -3 -1 7+ 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1712,115936] |
[a1,a2,a3,a4,a6] |
Generators |
[1:343:1] |
Generators of the group modulo torsion |
j |
33869988864/374006171 |
j-invariant |
L |
3.1990418528549 |
L(r)(E,1)/r! |
Ω |
0.55626428173601 |
Real period |
R |
1.4377347073534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999862565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83776k1 20944a1 |
Quadratic twists by: -4 8 |