Atkin-Lehner |
2- 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592cn |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-308236783375724544 = -1 · 212 · 310 · 11 · 415 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 11- 2 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4406601,-3559072023] |
[a1,a2,a3,a4,a6] |
j |
-2310335485704371030464/75253120941339 |
j-invariant |
L |
1.04201210521 |
L(r)(E,1)/r! |
Ω |
0.052100605416232 |
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 |
86592db1 43296l1 |
Quadratic twists by: -4 8 |