Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466ba |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
494592 |
Modular degree for the optimal curve |
Δ |
-7428893307696784 = -1 · 24 · 72 · 112 · 238 |
Discriminant |
Eigenvalues |
2- 2 -1 7+ 11+ -3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,18504,4039817] |
[a1,a2,a3,a4,a6] |
Generators |
[-1995:41717:27] |
Generators of the group modulo torsion |
j |
8947391/94864 |
j-invariant |
L |
12.404660854877 |
L(r)(E,1)/r! |
Ω |
0.30750100555057 |
Real period |
R |
0.84042142895958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81466bo1 |
Quadratic twists by: -23 |