Atkin-Lehner |
3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36225v |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9132503625 = 33 · 53 · 76 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 0 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1947,-32264] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:137:8] |
Generators of the group modulo torsion |
j |
241920824391/2705927 |
j-invariant |
L |
6.1083352769627 |
L(r)(E,1)/r! |
Ω |
0.7191858878305 |
Real period |
R |
4.2467012912257 |
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 |
36225s2 36225bb2 |
Quadratic twists by: -3 5 |