Atkin-Lehner |
2+ 3- 5+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
63270g |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
-218442458880 = -1 · 28 · 38 · 5 · 19 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5310,151956] |
[a1,a2,a3,a4,a6] |
Generators |
[27:153:1] |
Generators of the group modulo torsion |
j |
-22715680520161/299646720 |
j-invariant |
L |
3.52240884598 |
L(r)(E,1)/r! |
Ω |
1.0002017582957 |
Real period |
R |
0.88042457848955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21090q1 |
Quadratic twists by: -3 |