Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2574s |
Isogeny class |
Conductor |
2574 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-173961216 = -1 · 212 · 33 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,34,621] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:23:1] |
Generators of the group modulo torsion |
j |
165469149/6443008 |
j-invariant |
L |
4.0936154643347 |
L(r)(E,1)/r! |
Ω |
1.3667213733725 |
Real period |
R |
0.24960070770395 |
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 |
20592p1 82368c1 2574a1 64350n1 |
Quadratic twists by: -4 8 -3 5 |