Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cg |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-58936508951092344 = -1 · 23 · 36 · 115 · 137 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-100418,16949625] |
[a1,a2,a3,a4,a6] |
Generators |
[335:4395:1] |
Generators of the group modulo torsion |
j |
-31824875809/16749304 |
j-invariant |
L |
7.5448712570491 |
L(r)(E,1)/r! |
Ω |
0.32707037026018 |
Real period |
R |
1.92233637954 |
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 |
3718g1 2574l1 |
Quadratic twists by: -3 13 |