Atkin-Lehner |
2- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
97328x |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
50335830158344192 = 220 · 73 · 116 · 79 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-122611,-12512334] |
[a1,a2,a3,a4,a6] |
Generators |
[521:8064:1] |
Generators of the group modulo torsion |
j |
49768215360798537/12289021034752 |
j-invariant |
L |
3.8938606460029 |
L(r)(E,1)/r! |
Ω |
0.25974041685927 |
Real period |
R |
2.4985590673334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166f1 |
Quadratic twists by: -4 |