Atkin-Lehner |
2+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440a |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15121521049600 = 218 · 52 · 74 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6508,-76368] |
[a1,a2,a3,a4,a6] |
Generators |
[88:180:1] |
Generators of the group modulo torsion |
j |
116285729841/57684025 |
j-invariant |
L |
4.6463016231304 |
L(r)(E,1)/r! |
Ω |
0.55939069875609 |
Real period |
R |
4.1530022158858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000367 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69440cx2 1085e2 |
Quadratic twists by: -4 8 |