Atkin-Lehner |
2- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33418bq |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-12248097913339904 = -1 · 215 · 77 · 114 · 31 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 11- 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,55614,-1670705] |
[a1,a2,a3,a4,a6] |
Generators |
[97:2107:1] |
Generators of the group modulo torsion |
j |
161691571344239/104107114496 |
j-invariant |
L |
6.657156576931 |
L(r)(E,1)/r! |
Ω |
0.22939594268996 |
Real period |
R |
0.24183646910763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4774h1 |
Quadratic twists by: -7 |