Atkin-Lehner |
2+ 3- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
6570i |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
993156940800 = 210 · 312 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 6 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2934,-37260] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:162:1] |
Generators of the group modulo torsion |
j |
3832302404449/1362355200 |
j-invariant |
L |
3.1586613860163 |
L(r)(E,1)/r! |
Ω |
0.66773693113829 |
Real period |
R |
1.1825994784472 |
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 |
52560be1 2190n1 32850bu1 |
Quadratic twists by: -4 -3 5 |