Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2574q |
Isogeny class |
Conductor |
2574 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-224665338312290304 = -1 · 212 · 39 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11+ 13+ 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8433209,9428351833] |
[a1,a2,a3,a4,a6] |
j |
-3369853043629824680811/11414181695488 |
j-invariant |
L |
3.2999724040404 |
L(r)(E,1)/r! |
Ω |
0.2749977003367 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20592w1 82368o1 2574b1 64350g1 |
Quadratic twists by: -4 8 -3 5 |