Atkin-Lehner |
3- 5+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
128205x |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-1.7962690404123E+37 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-577643231880,-264829706952071175] |
[a1,a2,a3,a4,a6] |
Generators |
[4196787877718436101988:-1820342135573913699257145:4136993602088768] |
Generators of the group modulo torsion |
j |
-29239857470963853053181080286802634881/24640178880827569305896759033203125 |
j-invariant |
L |
7.1821511221753 |
L(r)(E,1)/r! |
Ω |
0.0026440255572323 |
Real period |
R |
28.295519251681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999750411 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42735o5 |
Quadratic twists by: -3 |