Atkin-Lehner |
2+ 3+ 5- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
36210i |
Isogeny class |
Conductor |
36210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
202094093280 = 25 · 3 · 5 · 174 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -2 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2132,-32016] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:53:1] |
Generators of the group modulo torsion |
j |
1072515457271881/202094093280 |
j-invariant |
L |
2.2221835142401 |
L(r)(E,1)/r! |
Ω |
0.71171521152183 |
Real period |
R |
1.561146564149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108630m2 |
Quadratic twists by: -3 |