Atkin-Lehner |
2+ 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298f |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
42021175603968 = 28 · 39 · 112 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 11- 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-130587,18193445] |
[a1,a2,a3,a4,a6] |
Generators |
[182:565:1] |
Generators of the group modulo torsion |
j |
103406718058875/17643776 |
j-invariant |
L |
5.4962080774997 |
L(r)(E,1)/r! |
Ω |
0.62290059564241 |
Real period |
R |
0.73529764263547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89298bn1 89298bo2 |
Quadratic twists by: -3 -11 |