Atkin-Lehner |
2- 3- 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33060r |
Isogeny class |
Conductor |
33060 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-186123409632000 = -1 · 28 · 34 · 53 · 195 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10325,767223] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:570:1] |
Generators of the group modulo torsion |
j |
-475549784866816/727044568875 |
j-invariant |
L |
7.819572281248 |
L(r)(E,1)/r! |
Ω |
0.51018291803593 |
Real period |
R |
0.085149985805867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99180k1 |
Quadratic twists by: -3 |