Atkin-Lehner |
11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
38291b |
Isogeny class |
Conductor |
38291 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3120 |
Modular degree for the optimal curve |
Δ |
-421201 = -1 · 112 · 592 |
Discriminant |
Eigenvalues |
-1 0 -3 -2 11+ -3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4,32] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-7:1] [-2:43:8] |
Generators of the group modulo torsion |
j |
-1593/121 |
j-invariant |
L |
4.0579471234022 |
L(r)(E,1)/r! |
Ω |
2.4605935331927 |
Real period |
R |
0.82458704955982 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38291d1 |
Quadratic twists by: -59 |