Atkin-Lehner |
2+ 3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270q |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6860372283523980 = -1 · 22 · 318 · 5 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6660,-3981204] |
[a1,a2,a3,a4,a6] |
Generators |
[187:1850:1] |
Generators of the group modulo torsion |
j |
44810747703359/9410661568620 |
j-invariant |
L |
2.4933923792554 |
L(r)(E,1)/r! |
Ω |
0.19812850053012 |
Real period |
R |
3.1461808530637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090bi4 |
Quadratic twists by: -3 |