Atkin-Lehner |
2- 3- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778bb |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
96439062764541042 = 2 · 38 · 72 · 132 · 316 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 6 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-185117,-26722285] |
[a1,a2,a3,a4,a6] |
Generators |
[-14220:125131:64] |
Generators of the group modulo torsion |
j |
962349654852818569/132289523682498 |
j-invariant |
L |
6.9186590478791 |
L(r)(E,1)/r! |
Ω |
0.23226313854503 |
Real period |
R |
7.4470050340405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926q2 |
Quadratic twists by: -3 |