Atkin-Lehner |
2+ 3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3306c |
Isogeny class |
Conductor |
3306 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
384384 |
Modular degree for the optimal curve |
Δ |
6.8575737642171E+19 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 -4 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25392758,-49251261688] |
[a1,a2,a3,a4,a6] |
j |
1810728381321177064113521881/68575737642171236352 |
j-invariant |
L |
0.73980244164349 |
L(r)(E,1)/r! |
Ω |
0.067254767422136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26448o1 105792m1 9918q1 82650bi1 |
Quadratic twists by: -4 8 -3 5 |