Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2574k |
Isogeny class |
Conductor |
2574 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-4980477984768 = -1 · 216 · 312 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 11+ 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20709,1157269] |
[a1,a2,a3,a4,a6] |
Generators |
[77:83:1] |
Generators of the group modulo torsion |
j |
-1347365318848849/6831931392 |
j-invariant |
L |
1.8664659385605 |
L(r)(E,1)/r! |
Ω |
0.77225020037093 |
Real period |
R |
1.2084593423634 |
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 |
20592by1 82368ca1 858i1 64350di1 |
Quadratic twists by: -4 8 -3 5 |