Atkin-Lehner |
3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2205c |
Isogeny class |
Conductor |
2205 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
99285005822625 = 39 · 53 · 79 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -2 6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27204,-1652365] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:307:1] |
Generators of the group modulo torsion |
j |
2803221/125 |
j-invariant |
L |
3.8762759520684 |
L(r)(E,1)/r! |
Ω |
0.3727664609566 |
Real period |
R |
3.4662238139853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280dj1 2205b1 11025i1 2205a1 |
Quadratic twists by: -4 -3 5 -7 |