Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6762d |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-32451433056 = -1 · 25 · 35 · 73 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 2 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,598,-6348] |
[a1,a2,a3,a4,a6] |
j |
68769820673/94610592 |
j-invariant |
L |
1.2434906427012 |
L(r)(E,1)/r! |
Ω |
0.62174532135058 |
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 |
54096dh1 20286cq1 6762m1 |
Quadratic twists by: -4 -3 -7 |