Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67280a |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16007885214752000 = 28 · 53 · 298 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 0 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-568796,165191120] |
[a1,a2,a3,a4,a6] |
Generators |
[300381764:-66918492:704969] |
Generators of the group modulo torsion |
j |
133649126224/105125 |
j-invariant |
L |
10.370626924743 |
L(r)(E,1)/r! |
Ω |
0.38889434184556 |
Real period |
R |
13.33347622895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33640e2 2320b2 |
Quadratic twists by: -4 29 |