Atkin-Lehner |
2- 3+ 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
63960m |
Isogeny class |
Conductor |
63960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15411437365708800 = 211 · 32 · 52 · 138 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-403120,-98198900] |
[a1,a2,a3,a4,a6] |
Generators |
[-375:310:1] [-363:412:1] |
Generators of the group modulo torsion |
j |
3537511604488625762/7525115901225 |
j-invariant |
L |
8.0887639907514 |
L(r)(E,1)/r! |
Ω |
0.18949440176217 |
Real period |
R |
21.34301571854 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999762 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127920v4 |
Quadratic twists by: -4 |