Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200cb |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
61434579600000000 = 210 · 312 · 58 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1377075,621877250] |
[a1,a2,a3,a4,a6] |
Generators |
[589:3888:1] |
Generators of the group modulo torsion |
j |
24759905519524/5267025 |
j-invariant |
L |
5.487796202281 |
L(r)(E,1)/r! |
Ω |
0.34077288762702 |
Real period |
R |
2.0129961925438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995593 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30600cn2 20400c2 12240m2 |
Quadratic twists by: -4 -3 5 |