Atkin-Lehner |
2+ 3- 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64170j |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2051409956895360000 = 210 · 38 · 54 · 232 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-338760,31876416] |
[a1,a2,a3,a4,a6] |
Generators |
[-599:4727:1] |
Generators of the group modulo torsion |
j |
5897572351541343361/2814005427840000 |
j-invariant |
L |
4.8818016486232 |
L(r)(E,1)/r! |
Ω |
0.23314375074598 |
Real period |
R |
5.2347549880359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21390q2 |
Quadratic twists by: -3 |