Atkin-Lehner |
3+ 5- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42315b |
Isogeny class |
Conductor |
42315 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
551472800228126595 = 32 · 5 · 712 · 134 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-421662,98972181] |
[a1,a2,a3,a4,a6] |
j |
8291225260817364839401/551472800228126595 |
j-invariant |
L |
3.4373119438943 |
L(r)(E,1)/r! |
Ω |
0.28644266200375 |
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 |
126945k3 |
Quadratic twists by: -3 |