Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600bd |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7106890752000000 = 216 · 35 · 56 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8295808,-9194021888] |
[a1,a2,a3,a4,a6] |
j |
986551739719628473/111045168 |
j-invariant |
L |
2.8466551473202 |
L(r)(E,1)/r! |
Ω |
0.088957973353756 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1950v4 62400hn4 46800dk4 624i3 |
Quadratic twists by: -4 8 -3 5 |