Atkin-Lehner |
3- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18837c |
Isogeny class |
Conductor |
18837 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
104160 |
Modular degree for the optimal curve |
Δ |
-161370400897251 = -1 · 36 · 72 · 135 · 233 |
Discriminant |
Eigenvalues |
2 3- -3 7+ -3 13+ -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13779,872417] |
[a1,a2,a3,a4,a6] |
j |
-396870925750272/221358574619 |
j-invariant |
L |
1.0675483515396 |
L(r)(E,1)/r! |
Ω |
0.53377417576981 |
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 |
2093a1 |
Quadratic twists by: -3 |