Atkin-Lehner |
2+ 5- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
108290u |
Isogeny class |
Conductor |
108290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1892352 |
Modular degree for the optimal curve |
Δ |
-45782054591436800 = -1 · 211 · 52 · 77 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 1 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,73736,6806848] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:2099:1] |
Generators of the group modulo torsion |
j |
376852050302391/389141043200 |
j-invariant |
L |
3.3915266539055 |
L(r)(E,1)/r! |
Ω |
0.23725014700301 |
Real period |
R |
0.89344692329671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000093294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15470a1 |
Quadratic twists by: -7 |