Atkin-Lehner |
2+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68614d |
Isogeny class |
Conductor |
68614 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-681695373905728 = -1 · 26 · 78 · 133 · 292 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14421,-1423264] |
[a1,a2,a3,a4,a6] |
Generators |
[219:2326:1] [235:2742:1] |
Generators of the group modulo torsion |
j |
-150951173681125/310284649024 |
j-invariant |
L |
5.7696363337633 |
L(r)(E,1)/r! |
Ω |
0.20446930291864 |
Real period |
R |
7.054404073663 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68614z2 |
Quadratic twists by: 13 |