Atkin-Lehner |
2+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38870a |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
174038714720 = 25 · 5 · 132 · 235 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -2 13+ 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1520,-10464] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:90:1] |
Generators of the group modulo torsion |
j |
2298944458161/1029814880 |
j-invariant |
L |
2.9175454837552 |
L(r)(E,1)/r! |
Ω |
0.79722591511756 |
Real period |
R |
3.6596219822135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38870bg1 |
Quadratic twists by: 13 |