Atkin-Lehner |
2+ 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68880u |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-37492761600 = -1 · 210 · 36 · 52 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 6 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,560,-7612] |
[a1,a2,a3,a4,a6] |
Generators |
[32:210:1] |
Generators of the group modulo torsion |
j |
18932679356/36614025 |
j-invariant |
L |
9.4348115649569 |
L(r)(E,1)/r! |
Ω |
0.60300629081482 |
Real period |
R |
1.3038575369026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440s2 |
Quadratic twists by: -4 |