Atkin-Lehner |
2- 3+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450br |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
289678125000 = 23 · 3 · 58 · 11 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35338,2542031] |
[a1,a2,a3,a4,a6] |
Generators |
[878:-225:8] [115:-183:1] |
Generators of the group modulo torsion |
j |
312341975961049/18539400 |
j-invariant |
L |
13.508650722956 |
L(r)(E,1)/r! |
Ω |
0.92215792860541 |
Real period |
R |
2.441492630854 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999363 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490j2 |
Quadratic twists by: 5 |