Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5200m |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-5200000000 = -1 · 210 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 -3 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,3588] |
[a1,a2,a3,a4,a6] |
Generators |
[8:50:1] |
Generators of the group modulo torsion |
j |
-2500/13 |
j-invariant |
L |
2.2188958063054 |
L(r)(E,1)/r! |
Ω |
1.1792808402804 |
Real period |
R |
0.31359448494867 |
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 |
2600m1 20800dt1 46800bs1 5200c1 |
Quadratic twists by: -4 8 -3 5 |