Atkin-Lehner |
2+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800bj |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-11505664000 = -1 · 215 · 53 · 532 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 4 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140,-5200] |
[a1,a2,a3,a4,a6] |
Generators |
[29:123:1] |
Generators of the group modulo torsion |
j |
-74088/2809 |
j-invariant |
L |
4.137832863652 |
L(r)(E,1)/r! |
Ω |
0.55611313316275 |
Real period |
R |
3.7203157170954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009848 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84800bi2 42400d2 84800bc2 |
Quadratic twists by: -4 8 5 |