Atkin-Lehner |
2+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
45920b |
Isogeny class |
Conductor |
45920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6300224000000 = -1 · 212 · 56 · 74 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7948,298272] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:588:1] [-6:588:1] |
Generators of the group modulo torsion |
j |
-13556180395584/1538140625 |
j-invariant |
L |
8.0032086220872 |
L(r)(E,1)/r! |
Ω |
0.7326978502155 |
Real period |
R |
2.7307329411892 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45920e2 91840o1 |
Quadratic twists by: -4 8 |