Atkin-Lehner |
2- 3+ 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350ci |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
157922091000 = 23 · 32 · 53 · 19 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3753,-87969] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:50:1] [101:708:1] |
Generators of the group modulo torsion |
j |
46768842852389/1263376728 |
j-invariant |
L |
12.436733504465 |
L(r)(E,1)/r! |
Ω |
0.61097095904604 |
Real period |
R |
1.6963072358498 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998215 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88350bo2 |
Quadratic twists by: 5 |