Atkin-Lehner |
2+ 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38870u |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-1010620 = -1 · 22 · 5 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,22,-24] |
[a1,a2,a3,a4,a6] |
Generators |
[2:4:1] |
Generators of the group modulo torsion |
j |
571787/460 |
j-invariant |
L |
2.7024072448119 |
L(r)(E,1)/r! |
Ω |
1.5397583875494 |
Real period |
R |
1.7550852566635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38870be1 |
Quadratic twists by: 13 |