Atkin-Lehner |
2+ 3+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
47808a |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-601563856896 = -1 · 228 · 33 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 1 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-492,37552] |
[a1,a2,a3,a4,a6] |
Generators |
[102:1024:1] |
Generators of the group modulo torsion |
j |
-1860867/84992 |
j-invariant |
L |
6.0918042842441 |
L(r)(E,1)/r! |
Ω |
0.76039735394962 |
Real period |
R |
1.0014179186373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47808bg1 1494b1 47808d1 |
Quadratic twists by: -4 8 -3 |