Atkin-Lehner |
2- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38080bm |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
78400 |
Modular degree for the optimal curve |
Δ |
-2800046200000 = -1 · 26 · 55 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 6 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1735,74975] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1575:1] |
Generators of the group modulo torsion |
j |
9019694698496/43750721875 |
j-invariant |
L |
9.1679646318355 |
L(r)(E,1)/r! |
Ω |
0.57893715203281 |
Real period |
R |
3.1671709440802 |
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 |
38080v1 9520f1 |
Quadratic twists by: -4 8 |