Atkin-Lehner |
2- 5+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
45050h |
Isogeny class |
Conductor |
45050 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
2875392 |
Modular degree for the optimal curve |
Δ |
3.617748942848E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 6 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3682105,2561847897] |
[a1,a2,a3,a4,a6] |
j |
353339411996219741721/23153593234227200 |
j-invariant |
L |
4.3392360552408 |
L(r)(E,1)/r! |
Ω |
0.16689369444335 |
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 |
9010c1 |
Quadratic twists by: 5 |