Atkin-Lehner |
2+ 3+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
32208a |
Isogeny class |
Conductor |
32208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1127022336 = -1 · 28 · 38 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,116,1504] |
[a1,a2,a3,a4,a6] |
Generators |
[17:90:1] |
Generators of the group modulo torsion |
j |
668510768/4402431 |
j-invariant |
L |
3.7241647051911 |
L(r)(E,1)/r! |
Ω |
1.122200651151 |
Real period |
R |
3.3186263983819 |
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 |
16104d1 128832bo1 96624l1 |
Quadratic twists by: -4 8 -3 |