Atkin-Lehner |
2- 3- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
80388b |
Isogeny class |
Conductor |
80388 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
540000 |
Modular degree for the optimal curve |
Δ |
44230350987001872 = 24 · 36 · 75 · 11 · 295 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109101,-9487091] |
[a1,a2,a3,a4,a6] |
j |
12312957911772928/3792039693673 |
j-invariant |
L |
0.80700321314792 |
L(r)(E,1)/r! |
Ω |
0.26900108443396 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8932a1 |
Quadratic twists by: -3 |