Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12584h |
Isogeny class |
Conductor |
12584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-843092966144 = -1 · 28 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 1 -1 2 11- 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29201,-1930909] |
[a1,a2,a3,a4,a6] |
Generators |
[197:26:1] |
Generators of the group modulo torsion |
j |
-6072054784/1859 |
j-invariant |
L |
5.4266106377764 |
L(r)(E,1)/r! |
Ω |
0.18260426309044 |
Real period |
R |
3.7147343563721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25168b1 100672bp1 113256m1 1144b1 |
Quadratic twists by: -4 8 -3 -11 |