Atkin-Lehner |
2+ 3+ 5- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
37230i |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1149664306176000000 = 216 · 36 · 56 · 172 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-262267,-3472931] |
[a1,a2,a3,a4,a6] |
j |
1995065897070466507321/1149664306176000000 |
j-invariant |
L |
1.3788506001095 |
L(r)(E,1)/r! |
Ω |
0.22980843335991 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
111690bj2 |
Quadratic twists by: -3 |