Atkin-Lehner |
2- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115640n |
Isogeny class |
Conductor |
115640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-106662654022400 = -1 · 28 · 52 · 710 · 59 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11417,-162582] |
[a1,a2,a3,a4,a6] |
Generators |
[21:294:1] |
Generators of the group modulo torsion |
j |
5464513584/3541475 |
j-invariant |
L |
5.2277766929314 |
L(r)(E,1)/r! |
Ω |
0.34018272100682 |
Real period |
R |
1.9209443848088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999830045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16520c2 |
Quadratic twists by: -7 |