Atkin-Lehner |
2- 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2574r |
Isogeny class |
Conductor |
2574 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
9367218432 = 28 · 39 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1190,-14795] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:35:1] |
Generators of the group modulo torsion |
j |
9460870875/475904 |
j-invariant |
L |
4.4291749065756 |
L(r)(E,1)/r! |
Ω |
0.81544739015596 |
Real period |
R |
0.67894859926655 |
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 |
20592x1 82368i1 2574c1 64350b1 |
Quadratic twists by: -4 8 -3 5 |