Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10647f |
Isogeny class |
Conductor |
10647 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-60854572656469683 = -1 · 37 · 78 · 136 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51746,12717020] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:4213:1] |
Generators of the group modulo torsion |
j |
-4354703137/17294403 |
j-invariant |
L |
2.6860763145684 |
L(r)(E,1)/r! |
Ω |
0.30600326553218 |
Real period |
R |
0.54862084353434 |
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 |
3549c6 74529bc5 63a6 |
Quadratic twists by: -3 -7 13 |