Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730co |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
8746026660 = 22 · 32 · 5 · 77 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2010,-34560] |
[a1,a2,a3,a4,a6] |
Generators |
[5268:35733:64] |
Generators of the group modulo torsion |
j |
7633736209/74340 |
j-invariant |
L |
12.771068915723 |
L(r)(E,1)/r! |
Ω |
0.71343556064962 |
Real period |
R |
4.4752005711532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001348 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390p1 |
Quadratic twists by: -7 |