Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150fv |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-693393307200 = -1 · 26 · 36 · 52 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- 1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-545,40497] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:200:1] |
Generators of the group modulo torsion |
j |
-980614705/38046272 |
j-invariant |
L |
11.967662258032 |
L(r)(E,1)/r! |
Ω |
0.75323369039029 |
Real period |
R |
0.44134385775901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350a1 84150dj1 |
Quadratic twists by: -3 5 |