Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150ba |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-1065834450 = -1 · 2 · 310 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 5 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-331,2768] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-49:1] |
Generators of the group modulo torsion |
j |
-442458985/118098 |
j-invariant |
L |
4.857206576628 |
L(r)(E,1)/r! |
Ω |
1.4763586887347 |
Real period |
R |
0.32899908495612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54150cg1 54150bq1 |
Quadratic twists by: 5 -19 |