Atkin-Lehner |
2+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
38080s |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
137280 |
Modular degree for the optimal curve |
Δ |
-18221875000000 = -1 · 26 · 511 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -2 1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39985,3071025] |
[a1,a2,a3,a4,a6] |
Generators |
[80:625:1] |
Generators of the group modulo torsion |
j |
-110470393399988224/284716796875 |
j-invariant |
L |
3.679834882392 |
L(r)(E,1)/r! |
Ω |
0.69147879265837 |
Real period |
R |
0.48378988250338 |
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 |
38080bs1 595a1 |
Quadratic twists by: -4 8 |