Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5390n |
Isogeny class |
Conductor |
5390 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
3170640550 = 2 · 52 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 11- -3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-908,-10244] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:12:1] |
Generators of the group modulo torsion |
j |
14338681/550 |
j-invariant |
L |
3.5251337295654 |
L(r)(E,1)/r! |
Ω |
0.87188682050214 |
Real period |
R |
2.0215546597752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43120cc1 48510cm1 26950by1 5390i1 |
Quadratic twists by: -4 -3 5 -7 |