Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462ce |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
-3547226846592 = -1 · 27 · 36 · 113 · 134 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3010,63821] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:235:1] |
Generators of the group modulo torsion |
j |
144896375/170368 |
j-invariant |
L |
9.2139738950533 |
L(r)(E,1)/r! |
Ω |
0.5276338412969 |
Real period |
R |
0.41578138789462 |
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 |
3718j1 33462bd1 |
Quadratic twists by: -3 13 |