Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400cr |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-100930236441750000 = -1 · 24 · 39 · 56 · 295 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -5 3 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77625,17404875] |
[a1,a2,a3,a4,a6] |
j |
-10512288000/20511149 |
j-invariant |
L |
1.1983254506891 |
L(r)(E,1)/r! |
Ω |
0.29958139787211 |
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 |
26100c1 104400dc1 4176n1 |
Quadratic twists by: -4 -3 5 |