Atkin-Lehner |
2- 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
4440g |
Isogeny class |
Conductor |
4440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
254977534976256000 = 211 · 312 · 53 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-338000,71739852] |
[a1,a2,a3,a4,a6] |
j |
2085187657182084002/124500749500125 |
j-invariant |
L |
1.837080641537 |
L(r)(E,1)/r! |
Ω |
0.30618010692284 |
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 |
8880i4 35520u3 13320d4 22200g3 |
Quadratic twists by: -4 8 -3 5 |