Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5200k |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
2080000 = 28 · 54 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5- 0 2 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-37] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:5:1] |
Generators of the group modulo torsion |
j |
25600/13 |
j-invariant |
L |
4.4523867332994 |
L(r)(E,1)/r! |
Ω |
2.0968058471661 |
Real period |
R |
0.70780464157215 |
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 |
2600f1 20800dr1 46800bo1 5200a1 |
Quadratic twists by: -4 8 -3 5 |