Atkin-Lehner |
2- 3+ 7+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642bf |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
143616 |
Modular degree for the optimal curve |
Δ |
-608018890752 = -1 · 222 · 33 · 7 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 13+ 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,751,36481] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-268:1] |
Generators of the group modulo torsion |
j |
1737087885261/22519218176 |
j-invariant |
L |
12.596202062054 |
L(r)(E,1)/r! |
Ω |
0.67712224643729 |
Real period |
R |
0.42278528119701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96642b1 |
Quadratic twists by: -3 |