Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
33462dj |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-147788339871744 = -1 · 223 · 36 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11- 13- -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34391,2532079] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:1886:1] |
Generators of the group modulo torsion |
j |
-2808592297029/92274688 |
j-invariant |
L |
11.043478382245 |
L(r)(E,1)/r! |
Ω |
0.57623640306636 |
Real period |
R |
0.20831347666322 |
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 |
3718d1 33462bc1 |
Quadratic twists by: -3 13 |