Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490u |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
21349307842560 = 216 · 37 · 5 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23895,1410205] |
[a1,a2,a3,a4,a6] |
Generators |
[78:89:1] |
Generators of the group modulo torsion |
j |
69477219631/983040 |
j-invariant |
L |
3.9918198102917 |
L(r)(E,1)/r! |
Ω |
0.68232754254453 |
Real period |
R |
1.4625746287664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28830bf1 86490t1 |
Quadratic twists by: -3 -31 |