Atkin-Lehner |
3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36225bb |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
142695369140625 = 33 · 59 · 76 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48680,-4081678] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:258:1] |
Generators of the group modulo torsion |
j |
241920824391/2705927 |
j-invariant |
L |
3.6387294354651 |
L(r)(E,1)/r! |
Ω |
0.32162970672951 |
Real period |
R |
1.8855686935062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36225bc2 36225v2 |
Quadratic twists by: -3 5 |