Atkin-Lehner |
2+ 3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12210b |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1259156250000000 = -1 · 27 · 32 · 512 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,14517,1574973] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1239:1] |
Generators of the group modulo torsion |
j |
338304362084841671/1259156250000000 |
j-invariant |
L |
2.3999886037813 |
L(r)(E,1)/r! |
Ω |
0.34448507000632 |
Real period |
R |
3.4834435694662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680ck2 36630bn2 61050cd2 |
Quadratic twists by: -4 -3 5 |