Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728h |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-10571468544 = -1 · 28 · 33 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,441,3430] |
[a1,a2,a3,a4,a6] |
Generators |
[162:2080:1] |
Generators of the group modulo torsion |
j |
11664/13 |
j-invariant |
L |
8.8027697460122 |
L(r)(E,1)/r! |
Ω |
0.85309210876632 |
Real period |
R |
5.1593313655182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967555 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45864e1 91728j1 1872b1 |
Quadratic twists by: -4 -3 -7 |