Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33396t |
Isogeny class |
Conductor |
33396 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
7054128915432192 = 28 · 35 · 118 · 232 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-167020,-26015596] |
[a1,a2,a3,a4,a6] |
Generators |
[755:16698:1] |
Generators of the group modulo torsion |
j |
1136150003536/15554187 |
j-invariant |
L |
4.854484767086 |
L(r)(E,1)/r! |
Ω |
0.23635624773062 |
Real period |
R |
2.0538846819985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100188x2 3036j2 |
Quadratic twists by: -3 -11 |