Atkin-Lehner |
2+ 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190d |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
326543330736090000 = 24 · 34 · 54 · 136 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-243363,37039293] |
[a1,a2,a3,a4,a6] |
Generators |
[-502:5997:1] [-451:7663:1] |
Generators of the group modulo torsion |
j |
330240275458561/67652010000 |
j-invariant |
L |
6.3528280073384 |
L(r)(E,1)/r! |
Ω |
0.28858099981288 |
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 |
510e3 |
Quadratic twists by: 13 |