Atkin-Lehner |
2- 3- 5+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
128340c |
Isogeny class |
Conductor |
128340 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
55776646137600 = 28 · 312 · 52 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39063,2949838] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:2430:1] |
Generators of the group modulo torsion |
j |
35322627332176/298871775 |
j-invariant |
L |
8.4889231360167 |
L(r)(E,1)/r! |
Ω |
0.631259791156 |
Real period |
R |
1.1206325301577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42780k2 |
Quadratic twists by: -3 |