Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560cb |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
635717556633600 = 218 · 32 · 52 · 74 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43680,-3283200] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:462:1] |
Generators of the group modulo torsion |
j |
2250202463701921/155204481600 |
j-invariant |
L |
7.6525878065917 |
L(r)(E,1)/r! |
Ω |
0.33167246455958 |
Real period |
R |
2.8840907095115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022862 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14070l2 |
Quadratic twists by: -4 |