Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7488y |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-1242169344 = -1 · 217 · 36 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -1 5 -2 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,5744] |
[a1,a2,a3,a4,a6] |
Generators |
[14:16:1] |
Generators of the group modulo torsion |
j |
-235298/13 |
j-invariant |
L |
4.6167153120861 |
L(r)(E,1)/r! |
Ω |
1.5140082429606 |
Real period |
R |
0.76233325240326 |
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 |
7488ca1 936b1 832e1 97344bg1 |
Quadratic twists by: -4 8 -3 13 |