Atkin-Lehner |
2- 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
34800co |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-44544000 = -1 · 212 · 3 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 3 4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11173,458317] |
[a1,a2,a3,a4,a6] |
j |
-301302001664/87 |
j-invariant |
L |
3.2467175327111 |
L(r)(E,1)/r! |
Ω |
1.6233587663516 |
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 |
2175j1 104400fl1 34800dt1 |
Quadratic twists by: -4 -3 5 |