Atkin-Lehner |
2- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800y |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
26329600000000 = 215 · 58 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11+ -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-289675,60008250] |
[a1,a2,a3,a4,a6] |
Generators |
[21:7344:1] [85:6000:1] |
Generators of the group modulo torsion |
j |
42002659053081/411400 |
j-invariant |
L |
8.9889934833924 |
L(r)(E,1)/r! |
Ω |
0.60399963487202 |
Real period |
R |
1.8603060673337 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9350y2 14960m2 |
Quadratic twists by: -4 5 |