Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462bg |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-18549240710787072 = -1 · 212 · 38 · 11 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8334,6544084] |
[a1,a2,a3,a4,a6] |
Generators |
[20:2582:1] |
Generators of the group modulo torsion |
j |
18191447/5271552 |
j-invariant |
L |
4.7335025713212 |
L(r)(E,1)/r! |
Ω |
0.30001014010309 |
Real period |
R |
1.9722260761315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154w1 2574t1 |
Quadratic twists by: -3 13 |