Atkin-Lehner |
2+ 3+ 5- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
37230i |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8210042339832864000 = 28 · 312 · 53 · 17 · 734 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2982267,-1978736931] |
[a1,a2,a3,a4,a6] |
j |
2933347456037337968587321/8210042339832864000 |
j-invariant |
L |
1.3788506001095 |
L(r)(E,1)/r! |
Ω |
0.11490421667996 |
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 |
111690bj4 |
Quadratic twists by: -3 |