Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540bf |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2790901578528000 = -1 · 28 · 32 · 53 · 78 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18604,2352804] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:882:1] |
Generators of the group modulo torsion |
j |
23642377904/92665125 |
j-invariant |
L |
7.3958090615598 |
L(r)(E,1)/r! |
Ω |
0.32304280550619 |
Real period |
R |
1.9078506164605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000100087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220e2 |
Quadratic twists by: -7 |