Atkin-Lehner |
2+ 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
33768h |
Isogeny class |
Conductor |
33768 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3325050134784 = 28 · 310 · 72 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12711,544570] |
[a1,a2,a3,a4,a6] |
Generators |
[395:7560:1] |
Generators of the group modulo torsion |
j |
1217013440848/17816841 |
j-invariant |
L |
5.121128032904 |
L(r)(E,1)/r! |
Ω |
0.79651641620116 |
Real period |
R |
3.2147033813368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67536q2 11256e2 |
Quadratic twists by: -4 -3 |