Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
31200cb |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3427320000000 = 29 · 3 · 57 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5408,-126312] |
[a1,a2,a3,a4,a6] |
j |
2186875592/428415 |
j-invariant |
L |
2.2572733872034 |
L(r)(E,1)/r! |
Ω |
0.56431834680072 |
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 |
31200d3 62400a4 93600bh3 6240a2 |
Quadratic twists by: -4 8 -3 5 |