Atkin-Lehner |
2- 3- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
76860k |
Isogeny class |
Conductor |
76860 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-266925172500000000 = -1 · 28 · 36 · 510 · 74 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -6 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-456447,121270214] |
[a1,a2,a3,a4,a6] |
Generators |
[343:-2250:1] |
Generators of the group modulo torsion |
j |
-56354329839423184/1430283203125 |
j-invariant |
L |
4.2854104598686 |
L(r)(E,1)/r! |
Ω |
0.30940846075404 |
Real period |
R |
0.46167779309445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8540b2 |
Quadratic twists by: -3 |