Atkin-Lehner |
2+ 5- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78320q |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-6118750000 = -1 · 24 · 58 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,118,3731] |
[a1,a2,a3,a4,a6] |
Generators |
[7:70:1] [487:10750:1] |
Generators of the group modulo torsion |
j |
11356637184/382421875 |
j-invariant |
L |
10.939211644807 |
L(r)(E,1)/r! |
Ω |
1.0133338184009 |
Real period |
R |
5.3976347409197 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39160p1 |
Quadratic twists by: -4 |