Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6762m |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-3817878647605344 = -1 · 25 · 35 · 79 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 2 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,29276,2265218] |
[a1,a2,a3,a4,a6] |
Generators |
[4:1541:1] |
Generators of the group modulo torsion |
j |
68769820673/94610592 |
j-invariant |
L |
3.4830808431717 |
L(r)(E,1)/r! |
Ω |
0.29825391306716 |
Real period |
R |
1.1678240219391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54096bu1 20286cp1 6762d1 |
Quadratic twists by: -4 -3 -7 |