Atkin-Lehner |
2- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
3916a |
Isogeny class |
Conductor |
3916 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1872 |
Modular degree for the optimal curve |
Δ |
-30325504 = -1 · 28 · 113 · 89 |
Discriminant |
Eigenvalues |
2- 2 -1 0 11- 5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2981,-61663] |
[a1,a2,a3,a4,a6] |
j |
-11447623942144/118459 |
j-invariant |
L |
2.9074293138809 |
L(r)(E,1)/r! |
Ω |
0.32304770154232 |
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 |
15664d1 62656c1 35244a1 97900b1 |
Quadratic twists by: -4 8 -3 5 |