Atkin-Lehner |
2+ 3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768d |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2348520519499776 = -1 · 220 · 32 · 173 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 -3 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75777,-8335359] |
[a1,a2,a3,a4,a6] |
Generators |
[1167:38616:1] |
Generators of the group modulo torsion |
j |
-183570015361537/8958894804 |
j-invariant |
L |
3.4134032969946 |
L(r)(E,1)/r! |
Ω |
0.14346652398298 |
Real period |
R |
5.9480832993565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998702611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768dh2 3774q2 |
Quadratic twists by: -4 8 |