Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110bo |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
1370633182603776000 = 212 · 36 · 53 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1260526,-542328277] |
[a1,a2,a3,a4,a6] |
Generators |
[-673:1659:1] |
Generators of the group modulo torsion |
j |
1882742462388824401/11650189824000 |
j-invariant |
L |
5.9471226103354 |
L(r)(E,1)/r! |
Ω |
0.14253564259466 |
Real period |
R |
1.7384899027348 |
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 |
57330ce1 95550ej1 2730bd1 |
Quadratic twists by: -3 5 -7 |