Atkin-Lehner |
2- 13+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
109174k |
Isogeny class |
Conductor |
109174 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
75625052827634336 = 25 · 137 · 172 · 194 |
Discriminant |
Eigenvalues |
2- -2 2 2 0 13+ 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-396562,-95238300] |
[a1,a2,a3,a4,a6] |
Generators |
[-350:1020:1] |
Generators of the group modulo torsion |
j |
1428883941140137/15667711904 |
j-invariant |
L |
9.1415937814391 |
L(r)(E,1)/r! |
Ω |
0.19037481808979 |
Real period |
R |
2.4009461601885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012748 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8398c2 |
Quadratic twists by: 13 |