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 |
Δ |
48220780050893736 = 23 · 38 · 114 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7596666,8060920492] |
[a1,a2,a3,a4,a6] |
Generators |
[-1303:126134:1] |
Generators of the group modulo torsion |
j |
13778603383488553/13703976 |
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 |
11154w3 2574t4 |
Quadratic twists by: -3 13 |