Atkin-Lehner |
3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13167d |
Isogeny class |
Conductor |
13167 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
1725443181 = 33 · 7 · 113 · 193 |
Discriminant |
Eigenvalues |
0 3+ 3 7- 11- -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-306,-501] |
[a1,a2,a3,a4,a6] |
j |
117361115136/63905303 |
j-invariant |
L |
2.4361363791061 |
L(r)(E,1)/r! |
Ω |
1.2180681895531 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
13167b2 92169c1 |
Quadratic twists by: -3 -7 |