Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5200j |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
1664000 = 210 · 53 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 2 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35,50] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:10:1] |
Generators of the group modulo torsion |
j |
37044/13 |
j-invariant |
L |
3.3606753040542 |
L(r)(E,1)/r! |
Ω |
2.4432251896404 |
Real period |
R |
0.68775389970271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2600l1 20800dn1 46800bt1 5200h1 |
Quadratic twists by: -4 8 -3 5 |