Atkin-Lehner |
2- 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
15450be |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-2531328000000 = -1 · 219 · 3 · 56 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-70488,-7209408] |
[a1,a2,a3,a4,a6] |
j |
-2478846508717753/162004992 |
j-invariant |
L |
5.5670179747244 |
L(r)(E,1)/r! |
Ω |
0.14650047301906 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600w1 46350s1 618b1 |
Quadratic twists by: -4 -3 5 |