Atkin-Lehner |
2- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
38686g |
Isogeny class |
Conductor |
38686 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
Δ |
-275375613664 = -1 · 25 · 233 · 294 |
Discriminant |
Eigenvalues |
2- -2 3 2 -3 -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-135839,-19281479] |
[a1,a2,a3,a4,a6] |
Generators |
[19129390:118898863:42875] |
Generators of the group modulo torsion |
j |
-391927148439457/389344 |
j-invariant |
L |
7.9389712522331 |
L(r)(E,1)/r! |
Ω |
0.12434072563765 |
Real period |
R |
12.769703910794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38686b2 |
Quadratic twists by: 29 |