Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872p |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-44999759895552 = -1 · 210 · 32 · 79 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9032,-464892] |
[a1,a2,a3,a4,a6] |
Generators |
[312:5214:1] |
Generators of the group modulo torsion |
j |
-1972156/1089 |
j-invariant |
L |
7.6860996173892 |
L(r)(E,1)/r! |
Ω |
0.23872953373172 |
Real period |
R |
4.0244809142606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12936s1 103488gn1 77616cl1 25872e1 |
Quadratic twists by: -4 8 -3 -7 |