Atkin-Lehner |
3- 7+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
38493d |
Isogeny class |
Conductor |
38493 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9120 |
Modular degree for the optimal curve |
Δ |
-3117933 = -1 · 36 · 7 · 13 · 47 |
Discriminant |
Eigenvalues |
1 3- -4 7+ 4 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54,189] |
[a1,a2,a3,a4,a6] |
Generators |
[4:3:1] |
Generators of the group modulo torsion |
j |
-24137569/4277 |
j-invariant |
L |
4.2848228148292 |
L(r)(E,1)/r! |
Ω |
2.4290946709035 |
Real period |
R |
1.7639587563847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4277a1 |
Quadratic twists by: -3 |