Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775bj |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6624 |
Modular degree for the optimal curve |
Δ |
-238875 = -1 · 3 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- 0 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,12,-22] |
[a1,a2,a3,a4,a6] |
Generators |
[2:2:1] |
Generators of the group modulo torsion |
j |
28672/39 |
j-invariant |
L |
2.2333773036026 |
L(r)(E,1)/r! |
Ω |
1.6659782772192 |
Real period |
R |
0.67029004343679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47775dq1 47775dc1 |
Quadratic twists by: 5 -7 |