Atkin-Lehner |
3+ 5- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42315b |
Isogeny class |
Conductor |
42315 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
777538125 = 32 · 54 · 73 · 13 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6634992,6575461119] |
[a1,a2,a3,a4,a6] |
j |
32303161232732437216371721/777538125 |
j-invariant |
L |
3.4373119438943 |
L(r)(E,1)/r! |
Ω |
0.5728853240075 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126945k4 |
Quadratic twists by: -3 |