Atkin-Lehner |
3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3885k |
Isogeny class |
Conductor |
3885 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-26827910226744375 = -1 · 3 · 54 · 710 · 373 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 6 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-136893,21015883] |
[a1,a2,a3,a4,a6] |
j |
-283702311983803333321/26827910226744375 |
j-invariant |
L |
3.666938277252 |
L(r)(E,1)/r! |
Ω |
0.3666938277252 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62160br1 11655j1 19425e1 27195c1 |
Quadratic twists by: -4 -3 5 -7 |