Atkin-Lehner |
2+ 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150cr |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.04126652125E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 0 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-161799417,789213525741] |
[a1,a2,a3,a4,a6] |
j |
41125104693338423360329/179205840000000000 |
j-invariant |
L |
1.3305663917873 |
L(r)(E,1)/r! |
Ω |
0.083160395752247 |
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 |
28050cz2 16830cv2 |
Quadratic twists by: -3 5 |