Atkin-Lehner |
2- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
8240h |
Isogeny class |
Conductor |
8240 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-8240 = -1 · 24 · 5 · 103 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 4 2 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,-4] |
[a1,a2,a3,a4,a6] |
j |
-16384/515 |
j-invariant |
L |
1.8022978621192 |
L(r)(E,1)/r! |
Ω |
1.8022978621192 |
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 |
2060a1 32960t1 74160bk1 41200bf1 |
Quadratic twists by: -4 8 -3 5 |