Atkin-Lehner |
2- 3+ 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33060d |
Isogeny class |
Conductor |
33060 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
517440 |
Modular degree for the optimal curve |
Δ |
-605284359781762800 = -1 · 24 · 35 · 52 · 192 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 3 5 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-264850,64535425] |
[a1,a2,a3,a4,a6] |
j |
-128411908621533734656/37830272486360175 |
j-invariant |
L |
3.2927054505467 |
L(r)(E,1)/r! |
Ω |
0.27439212087877 |
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 |
99180r1 |
Quadratic twists by: -3 |