Atkin-Lehner |
2- 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68880ca |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-542325297991680 = -1 · 212 · 38 · 5 · 74 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53816,4916244] |
[a1,a2,a3,a4,a6] |
Generators |
[100:-738:1] |
Generators of the group modulo torsion |
j |
-4208294050801849/132403637205 |
j-invariant |
L |
6.1958108170182 |
L(r)(E,1)/r! |
Ω |
0.51735511480887 |
Real period |
R |
0.74849588800381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4305b2 |
Quadratic twists by: -4 |