Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4680a |
Isogeny class |
Conductor |
4680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-327525120 = -1 · 28 · 39 · 5 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 5 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108,-972] |
[a1,a2,a3,a4,a6] |
Generators |
[18:54:1] |
Generators of the group modulo torsion |
j |
-27648/65 |
j-invariant |
L |
3.9675939980868 |
L(r)(E,1)/r! |
Ω |
0.6914286542338 |
Real period |
R |
0.7172818868932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9360b1 37440z1 4680m1 23400bd1 |
Quadratic twists by: -4 8 -3 5 |