Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33396j |
Isogeny class |
Conductor |
33396 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
7809522752592 = 24 · 32 · 119 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8873,289320] |
[a1,a2,a3,a4,a6] |
Generators |
[67:9:1] |
Generators of the group modulo torsion |
j |
2048000/207 |
j-invariant |
L |
6.9388111155618 |
L(r)(E,1)/r! |
Ω |
0.71857164722285 |
Real period |
R |
3.2187980801354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100188m1 33396k1 |
Quadratic twists by: -3 -11 |