Atkin-Lehner |
2- 3+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
45756b |
Isogeny class |
Conductor |
45756 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42624 |
Modular degree for the optimal curve |
Δ |
8442531072 = 28 · 33 · 313 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 2 -5 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1872,-30860] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:1:1] |
Generators of the group modulo torsion |
j |
104963309568/1221431 |
j-invariant |
L |
4.1793679008847 |
L(r)(E,1)/r! |
Ω |
0.72632096249803 |
Real period |
R |
2.8770805998188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45756a1 |
Quadratic twists by: -3 |