Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600l |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1456701038640000000 = 210 · 318 · 57 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1182675,-491629250] |
[a1,a2,a3,a4,a6] |
Generators |
[-66981840:-174845825:110592] |
Generators of the group modulo torsion |
j |
15684564006436/124888635 |
j-invariant |
L |
7.0217965641204 |
L(r)(E,1)/r! |
Ω |
0.14484107484329 |
Real period |
R |
12.119829562178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28200x4 16920n3 |
Quadratic twists by: -3 5 |