Atkin-Lehner |
2+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440be |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2204303360 = 216 · 5 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 2 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2945,62465] |
[a1,a2,a3,a4,a6] |
j |
43116861316/33635 |
j-invariant |
L |
5.8023367107052 |
L(r)(E,1)/r! |
Ω |
1.4505841781108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440ec2 8680l2 |
Quadratic twists by: -4 8 |