Atkin-Lehner |
2- 3- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51282bl |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16512 |
Modular degree for the optimal curve |
Δ |
-49846104 = -1 · 23 · 37 · 7 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ 5 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68,-385] |
[a1,a2,a3,a4,a6] |
j |
-47045881/68376 |
j-invariant |
L |
4.7452267636941 |
L(r)(E,1)/r! |
Ω |
0.79087112715276 |
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 |
17094p1 |
Quadratic twists by: -3 |