Atkin-Lehner |
5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32725k |
Isogeny class |
Conductor |
32725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.1837104278717E+22 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-615724417,-5880523536384] |
[a1,a2,a3,a4,a6] |
Generators |
[36791115340700598298212337918445781444456236897509220757415680:-12729629112582277839006538091398912094453596746812273264248231728:295070968188230153445057740707335666232566872389226279033] |
Generators of the group modulo torsion |
j |
1652200750486169002301567841/1397574673837890625 |
j-invariant |
L |
5.5829893886641 |
L(r)(E,1)/r! |
Ω |
0.030307700201823 |
Real period |
R |
92.10513089885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6545f2 |
Quadratic twists by: 5 |