Atkin-Lehner |
2+ 3+ 7+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642b |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430848 |
Modular degree for the optimal curve |
Δ |
-443245771358208 = -1 · 222 · 39 · 7 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 2 13+ -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6762,-991756] |
[a1,a2,a3,a4,a6] |
Generators |
[79:136:1] |
Generators of the group modulo torsion |
j |
1737087885261/22519218176 |
j-invariant |
L |
3.5438933391219 |
L(r)(E,1)/r! |
Ω |
0.25921261532964 |
Real period |
R |
3.4179406539876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999866685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96642bf1 |
Quadratic twists by: -3 |