Atkin-Lehner |
3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2205l |
Isogeny class |
Conductor |
2205 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4704 |
Modular degree for the optimal curve |
Δ |
-3677222437875 = -1 · 36 · 53 · 79 |
Discriminant |
Eigenvalues |
2 3- 5- 7- -1 3 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3087,113447] |
[a1,a2,a3,a4,a6] |
j |
-110592/125 |
j-invariant |
L |
4.2872381929853 |
L(r)(E,1)/r! |
Ω |
0.71453969883088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35280fg1 245b1 11025be1 2205h1 |
Quadratic twists by: -4 -3 5 -7 |