Atkin-Lehner |
3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2535m |
Isogeny class |
Conductor |
2535 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-178950926919375 = -1 · 33 · 54 · 139 |
Discriminant |
Eigenvalues |
1 3- 5- 2 0 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17073,1071631] |
[a1,a2,a3,a4,a6] |
j |
-51895117/16875 |
j-invariant |
L |
3.2307512130309 |
L(r)(E,1)/r! |
Ω |
0.53845853550514 |
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 |
40560by1 7605n1 12675p1 124215q1 |
Quadratic twists by: -4 -3 5 -7 |