Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
5208d |
Isogeny class |
Conductor |
5208 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
40497408 = 28 · 36 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1148,14592] |
[a1,a2,a3,a4,a6] |
Generators |
[16:24:1] |
Generators of the group modulo torsion |
j |
654165538000/158193 |
j-invariant |
L |
4.4948361522179 |
L(r)(E,1)/r! |
Ω |
1.9886021193554 |
Real period |
R |
0.7534331291428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10416d2 41664h2 15624v2 36456b2 |
Quadratic twists by: -4 8 -3 -7 |