Atkin-Lehner |
2+ 5- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
49640c |
Isogeny class |
Conductor |
49640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
198560000 = 28 · 54 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-380,2900] |
[a1,a2,a3,a4,a6] |
j |
23767139536/775625 |
j-invariant |
L |
3.5533633037466 |
L(r)(E,1)/r! |
Ω |
1.7766816520933 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99280f1 |
Quadratic twists by: -4 |