Atkin-Lehner |
2+ 3+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
38376c |
Isogeny class |
Conductor |
38376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-167856624 = -1 · 24 · 39 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -1 0 13- 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5643,-163161] |
[a1,a2,a3,a4,a6] |
Generators |
[127:1081:1] |
Generators of the group modulo torsion |
j |
-63101922048/533 |
j-invariant |
L |
5.2785477044405 |
L(r)(E,1)/r! |
Ω |
0.27541768677829 |
Real period |
R |
4.7914022572279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76752e1 38376m1 |
Quadratic twists by: -4 -3 |