Atkin-Lehner |
2+ 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68614a |
Isogeny class |
Conductor |
68614 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
783587667669716 = 22 · 72 · 1310 · 29 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ 4 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-100389,12126665] |
[a1,a2,a3,a4,a6] |
Generators |
[45804:1833563:27] |
Generators of the group modulo torsion |
j |
23180817201697/162340724 |
j-invariant |
L |
8.4164925619279 |
L(r)(E,1)/r! |
Ω |
0.50665056970079 |
Real period |
R |
4.1530065618261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5278f2 |
Quadratic twists by: 13 |