Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800dm |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-36583500000000 = -1 · 28 · 3 · 59 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -5 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14333,-726537] |
[a1,a2,a3,a4,a6] |
j |
-651321344/73167 |
j-invariant |
L |
0.86716933011169 |
L(r)(E,1)/r! |
Ω |
0.21679233252788 |
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 |
8700i1 104400fx1 34800ci1 |
Quadratic twists by: -4 -3 5 |