Atkin-Lehner |
2+ 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
6570m |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-19617914880 = -1 · 213 · 38 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,531,-4955] |
[a1,a2,a3,a4,a6] |
j |
22689222191/26910720 |
j-invariant |
L |
1.3092017606429 |
L(r)(E,1)/r! |
Ω |
0.65460088032145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52560bl1 2190i1 32850bk1 |
Quadratic twists by: -4 -3 5 |