Atkin-Lehner |
2+ 3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470n |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
33644160000 = 210 · 34 · 54 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-829,2456] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:62:1] |
Generators of the group modulo torsion |
j |
62897590993609/33644160000 |
j-invariant |
L |
4.9232036838644 |
L(r)(E,1)/r! |
Ω |
1.0192762503802 |
Real period |
R |
1.207524378702 |
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 |
58410bj1 97350bv1 |
Quadratic twists by: -3 5 |