Atkin-Lehner |
2+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6650i |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
127733200000000 = 210 · 58 · 75 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -3 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-188826,31561548] |
[a1,a2,a3,a4,a6] |
j |
1906100306841145/326996992 |
j-invariant |
L |
1.1356841261645 |
L(r)(E,1)/r! |
Ω |
0.56784206308225 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53200eb2 59850ft2 6650y1 46550bm2 |
Quadratic twists by: -4 -3 5 -7 |