Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
19080f |
Isogeny class |
Conductor |
19080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-2967321600 = -1 · 210 · 37 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 6 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,357,358] |
[a1,a2,a3,a4,a6] |
Generators |
[14:90:1] |
Generators of the group modulo torsion |
j |
6740636/3975 |
j-invariant |
L |
4.0153565899367 |
L(r)(E,1)/r! |
Ω |
0.86737787220633 |
Real period |
R |
1.1573262123124 |
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 |
38160i1 6360k1 95400bb1 |
Quadratic twists by: -4 -3 5 |