Atkin-Lehner |
2+ 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190d |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
80348993337600 = 28 · 32 · 52 · 136 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-229843,42314797] |
[a1,a2,a3,a4,a6] |
Generators |
[-359:9052:1] [-122:8341:1] |
Generators of the group modulo torsion |
j |
278202094583041/16646400 |
j-invariant |
L |
6.3528280073384 |
L(r)(E,1)/r! |
Ω |
0.57716199962577 |
Real period |
R |
2.7517525459161 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997381 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
510e2 |
Quadratic twists by: 13 |