Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700i |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3483648 |
Modular degree for the optimal curve |
Δ |
-2.4043281621094E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -3 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8889158,10206604437] |
[a1,a2,a3,a4,a6] |
j |
-12872772702976/3984375 |
j-invariant |
L |
1.6685679185253 |
L(r)(E,1)/r! |
Ω |
0.20857099035646 |
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 |
17340l1 5100n1 |
Quadratic twists by: 5 17 |