Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8700b |
Isogeny class |
Conductor |
8700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2572277343750000 = -1 · 24 · 33 · 512 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12158,-2490063] |
[a1,a2,a3,a4,a6] |
j |
-795070868224/10289109375 |
j-invariant |
L |
1.1694398151424 |
L(r)(E,1)/r! |
Ω |
0.19490663585706 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34800cu2 26100t2 1740e2 |
Quadratic twists by: -4 -3 5 |