Atkin-Lehner |
2- 5- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
86320v |
Isogeny class |
Conductor |
86320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
624000 |
Modular degree for the optimal curve |
Δ |
-646286021754880 = -1 · 222 · 5 · 135 · 83 |
Discriminant |
Eigenvalues |
2- -2 5- -5 2 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19640,-604812] |
[a1,a2,a3,a4,a6] |
Generators |
[222:3840:1] |
Generators of the group modulo torsion |
j |
204534277765559/157784673280 |
j-invariant |
L |
2.9803319969222 |
L(r)(E,1)/r! |
Ω |
0.28552863232996 |
Real period |
R |
2.6094861092459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10790c1 |
Quadratic twists by: -4 |