Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400cr |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1512000000000 = 212 · 33 · 59 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7208,-230412] |
[a1,a2,a3,a4,a6] |
j |
5177717/189 |
j-invariant |
L |
3.1157746238868 |
L(r)(E,1)/r! |
Ω |
0.51929577064779 |
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 |
525c1 33600fs1 25200fi1 8400by1 |
Quadratic twists by: -4 8 -3 5 |