Atkin-Lehner |
2- 3- 11+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77418w |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-6.9206127928623E+26 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,77843794,1237765349477] |
[a1,a2,a3,a4,a6] |
Generators |
[-3847024584886035:-411848107937190133:600143712875] |
Generators of the group modulo torsion |
j |
71559644293655556218996327/949329601215682936099752 |
j-invariant |
L |
7.338029334928 |
L(r)(E,1)/r! |
Ω |
0.03769012295315 |
Real period |
R |
16.224474652313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001331 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25806g3 |
Quadratic twists by: -3 |