Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400i |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10103940000000000 = 211 · 38 · 510 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-99008,-10939488] |
[a1,a2,a3,a4,a6] |
Generators |
[-219:438:1] [-142:486:1] |
Generators of the group modulo torsion |
j |
3354200221682/315748125 |
j-invariant |
L |
9.5321891018978 |
L(r)(E,1)/r! |
Ω |
0.2707667883129 |
Real period |
R |
8.8011062599677 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200cv3 18480bh3 |
Quadratic twists by: -4 5 |