Atkin-Lehner |
2+ 3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104880o |
Isogeny class |
Conductor |
104880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-503424000 = -1 · 210 · 32 · 53 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -5 -3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,144,900] |
[a1,a2,a3,a4,a6] |
Generators |
[0:30:1] |
Generators of the group modulo torsion |
j |
320251964/491625 |
j-invariant |
L |
6.8677949700039 |
L(r)(E,1)/r! |
Ω |
1.1246880837697 |
Real period |
R |
1.5265999150091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52440l1 |
Quadratic twists by: -4 |