Atkin-Lehner |
2- 3+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86100r |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
828000 |
Modular degree for the optimal curve |
Δ |
-106442884668750000 = -1 · 24 · 3 · 58 · 72 · 415 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 1 4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,65667,-14320338] |
[a1,a2,a3,a4,a6] |
j |
5010471649280/17030861547 |
j-invariant |
L |
3.071666373235 |
L(r)(E,1)/r! |
Ω |
0.17064813314722 |
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 |
86100t1 |
Quadratic twists by: 5 |