Atkin-Lehner |
2- 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45084f |
Isogeny class |
Conductor |
45084 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
3773940581640528 = 24 · 32 · 13 · 1710 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84773,9057078] |
[a1,a2,a3,a4,a6] |
Generators |
[91:1445:1] |
Generators of the group modulo torsion |
j |
174456832000/9771957 |
j-invariant |
L |
5.3983437557104 |
L(r)(E,1)/r! |
Ω |
0.43553739850115 |
Real period |
R |
2.0657788800281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652g1 |
Quadratic twists by: 17 |