Atkin-Lehner |
3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2205m |
Isogeny class |
Conductor |
2205 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-281472991507141875 = -1 · 313 · 54 · 710 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 6 3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-136857,32113975] |
[a1,a2,a3,a4,a6] |
j |
-1376628736/1366875 |
j-invariant |
L |
4.4979573458396 |
L(r)(E,1)/r! |
Ω |
0.28112233411498 |
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 |
35280fx1 735b1 11025bf1 2205e1 |
Quadratic twists by: -4 -3 5 -7 |