Atkin-Lehner |
3+ 5+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36465f |
Isogeny class |
Conductor |
36465 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8145220438265625 = 36 · 56 · 114 · 132 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-73526,6296474] |
[a1,a2,a3,a4,a6] |
Generators |
[-252:3109:1] |
Generators of the group modulo torsion |
j |
43958908564647025249/8145220438265625 |
j-invariant |
L |
2.6981980997562 |
L(r)(E,1)/r! |
Ω |
0.3942370357579 |
Real period |
R |
1.711025255764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109395w2 |
Quadratic twists by: -3 |