Atkin-Lehner |
2- 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33150ch |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
436800 |
Modular degree for the optimal curve |
Δ |
-531594460800000000 = -1 · 213 · 32 · 58 · 13 · 175 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -3 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,135362,29389892] |
[a1,a2,a3,a4,a6] |
j |
702188583933695/1360881819648 |
j-invariant |
L |
5.2482107837799 |
L(r)(E,1)/r! |
Ω |
0.20185426091451 |
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 |
99450bp1 33150i1 |
Quadratic twists by: -3 5 |