Atkin-Lehner |
2+ 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
12730b |
Isogeny class |
Conductor |
12730 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-241870 = -1 · 2 · 5 · 192 · 67 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 -3 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-513,-4693] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1220:1] |
Generators of the group modulo torsion |
j |
-14976071831449/241870 |
j-invariant |
L |
4.9007763952613 |
L(r)(E,1)/r! |
Ω |
0.50145229271849 |
Real period |
R |
4.88658289774 |
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 |
101840k1 114570cd1 63650h1 |
Quadratic twists by: -4 -3 5 |