Atkin-Lehner |
5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
3245c |
Isogeny class |
Conductor |
3245 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
111546875 = 56 · 112 · 59 |
Discriminant |
Eigenvalues |
-1 -2 5+ 0 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-286,-1815] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:11:1] |
Generators of the group modulo torsion |
j |
2587716619489/111546875 |
j-invariant |
L |
1.2516122143698 |
L(r)(E,1)/r! |
Ω |
1.1640063738058 |
Real period |
R |
1.0752623375056 |
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 |
51920g2 29205j2 16225e2 35695g2 |
Quadratic twists by: -4 -3 5 -11 |