Atkin-Lehner |
2+ 3- 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
34710k |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
20826000 = 24 · 32 · 53 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27119,1716626] |
[a1,a2,a3,a4,a6] |
Generators |
[104:102:1] |
Generators of the group modulo torsion |
j |
2205574360430145769/20826000 |
j-invariant |
L |
4.7007916024933 |
L(r)(E,1)/r! |
Ω |
1.5031217488748 |
Real period |
R |
3.1273525288373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104130bu1 |
Quadratic twists by: -3 |