Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
88400be |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
3898254394531250000 = 24 · 518 · 13 · 173 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 0 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-402033,-24691562] |
[a1,a2,a3,a4,a6] |
Generators |
[-318:8432:1] |
Generators of the group modulo torsion |
j |
28745501621960704/15593017578125 |
j-invariant |
L |
2.8477327379593 |
L(r)(E,1)/r! |
Ω |
0.20216122786857 |
Real period |
R |
4.6954812219893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999653965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22100e3 17680i3 |
Quadratic twists by: -4 5 |