Atkin-Lehner |
2- 3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450bp |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
83281302225000000 = 26 · 34 · 58 · 114 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-158838,19956531] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:6623:1] |
Generators of the group modulo torsion |
j |
28363974554285209/5330003342400 |
j-invariant |
L |
7.1501392488705 |
L(r)(E,1)/r! |
Ω |
0.32460996611606 |
Real period |
R |
1.8355719122001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019854 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17490f2 |
Quadratic twists by: 5 |