Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36225bp |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5381047719140625 = 312 · 58 · 72 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-73355,-6765478] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:595:1] |
Generators of the group modulo torsion |
j |
3832302404449/472410225 |
j-invariant |
L |
3.4176363197952 |
L(r)(E,1)/r! |
Ω |
0.2924419118068 |
Real period |
R |
2.9216368976326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12075s2 7245p2 |
Quadratic twists by: -3 5 |