Atkin-Lehner |
2- 3+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
38376o |
Isogeny class |
Conductor |
38376 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14208 |
Modular degree for the optimal curve |
Δ |
-38913264 = -1 · 24 · 33 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 -6 13- -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-183,999] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:41:1] [-3:39:1] |
Generators of the group modulo torsion |
j |
-1568892672/90077 |
j-invariant |
L |
8.5245552605078 |
L(r)(E,1)/r! |
Ω |
2.019176461237 |
Real period |
R |
0.35181650473839 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76752f1 38376a1 |
Quadratic twists by: -4 -3 |