Atkin-Lehner |
2- 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730cu |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
7999699051680000 = 28 · 3 · 54 · 710 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-125735,-16622775] |
[a1,a2,a3,a4,a6] |
j |
1868547946835809/67996320000 |
j-invariant |
L |
8.1312316124873 |
L(r)(E,1)/r! |
Ω |
0.25410099058442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390m1 |
Quadratic twists by: -7 |