Atkin-Lehner |
2+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33418f |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
78624 |
Modular degree for the optimal curve |
Δ |
-1107828622208 = -1 · 27 · 74 · 112 · 313 |
Discriminant |
Eigenvalues |
2+ -1 -4 7+ 11- 5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1887,58885] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-181:1] |
Generators of the group modulo torsion |
j |
-309746789401/461403008 |
j-invariant |
L |
2.4253053342741 |
L(r)(E,1)/r! |
Ω |
0.78258875905892 |
Real period |
R |
0.51651336801523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33418n1 |
Quadratic twists by: -7 |