Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510cb |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1098375835843440 = 24 · 39 · 5 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-562358,162450901] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:14597:1] |
Generators of the group modulo torsion |
j |
8493409990827/474320 |
j-invariant |
L |
8.8878200164281 |
L(r)(E,1)/r! |
Ω |
0.46339453312648 |
Real period |
R |
1.1987382485465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48510k2 6930u2 |
Quadratic twists by: -3 -7 |