Atkin-Lehner |
2- 3+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490bl |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
-12391969987584000 = -1 · 213 · 33 · 53 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 0 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11069,-5332447] |
[a1,a2,a3,a4,a6] |
Generators |
[259:-4002:1] |
Generators of the group modulo torsion |
j |
84662348471/6994944000 |
j-invariant |
L |
7.0756110792312 |
L(r)(E,1)/r! |
Ω |
0.19043392641937 |
Real period |
R |
0.71452312276377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7590b1 |
Quadratic twists by: -11 |