Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6762be |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17136 |
Modular degree for the optimal curve |
Δ |
-350834259258 = -1 · 2 · 33 · 710 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -5 -2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,-28519] |
[a1,a2,a3,a4,a6] |
j |
-49/1242 |
j-invariant |
L |
0.43702216802908 |
L(r)(E,1)/r! |
Ω |
0.43702216802908 |
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 |
54096db1 20286bc1 6762bg1 |
Quadratic twists by: -4 -3 -7 |