Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600v |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7684768080000000 = 210 · 38 · 57 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-225075,-40882750] |
[a1,a2,a3,a4,a6] |
j |
108108036004/658845 |
j-invariant |
L |
1.7541516929745 |
L(r)(E,1)/r! |
Ω |
0.21926896162323 |
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 |
19800bo4 13200m4 7920f3 |
Quadratic twists by: -4 -3 5 |