Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8700d |
Isogeny class |
Conductor |
8700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-15855750000 = -1 · 24 · 37 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -1 3 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1258,18637] |
[a1,a2,a3,a4,a6] |
j |
-881395456/63423 |
j-invariant |
L |
2.4369962901124 |
L(r)(E,1)/r! |
Ω |
1.2184981450562 |
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 |
34800cz1 26100y1 348d1 |
Quadratic twists by: -4 -3 5 |