Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74529x |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
141994002865095927 = 36 · 79 · 136 |
Discriminant |
Eigenvalues |
1 3- 0 7- 4 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2771547,-1775167822] |
[a1,a2,a3,a4,a6] |
Generators |
[-36987852206:15808783096:38272753] |
Generators of the group modulo torsion |
j |
16581375 |
j-invariant |
L |
7.366732694202 |
L(r)(E,1)/r! |
Ω |
0.11700934734702 |
Real period |
R |
15.739624358182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8281g4 74529x2 441d4 |
Quadratic twists by: -3 -7 13 |