Atkin-Lehner |
2- 3- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33060j |
Isogeny class |
Conductor |
33060 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
381024 |
Modular degree for the optimal curve |
Δ |
-184436947675296000 = -1 · 28 · 321 · 53 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -6 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176556,35187300] |
[a1,a2,a3,a4,a6] |
j |
-2377571847451604944/720456826856625 |
j-invariant |
L |
2.1188687355847 |
L(r)(E,1)/r! |
Ω |
0.30269553365647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
99180bb1 |
Quadratic twists by: -3 |