Atkin-Lehner |
2+ 3- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
45552f |
Isogeny class |
Conductor |
45552 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
40704 |
Modular degree for the optimal curve |
Δ |
-46607348736 = -1 · 210 · 32 · 13 · 733 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 2 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,408,-9756] |
[a1,a2,a3,a4,a6] |
Generators |
[56:438:1] |
Generators of the group modulo torsion |
j |
7317106268/45514989 |
j-invariant |
L |
4.8552793231359 |
L(r)(E,1)/r! |
Ω |
0.56667374901261 |
Real period |
R |
0.71400274137552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22776b1 |
Quadratic twists by: -4 |