Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2574x |
Isogeny class |
Conductor |
2574 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
2681955370119168 = 212 · 37 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-586580,173046071] |
[a1,a2,a3,a4,a6] |
Generators |
[-741:14527:1] |
Generators of the group modulo torsion |
j |
30618029936661765625/3678951124992 |
j-invariant |
L |
4.3193594937223 |
L(r)(E,1)/r! |
Ω |
0.43749823068009 |
Real period |
R |
0.61705385171041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
20592bf4 82368s4 858b4 64350bn4 |
Quadratic twists by: -4 8 -3 5 |