Atkin-Lehner |
2+ 3- 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
32214q |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-6588007053264 = -1 · 24 · 33 · 76 · 133 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3692,-150982] |
[a1,a2,a3,a4,a6] |
j |
-5563392277408057/6588007053264 |
j-invariant |
L |
3.5150874009342 |
L(r)(E,1)/r! |
Ω |
0.29292395007821 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
96642ci1 |
Quadratic twists by: -3 |