Atkin-Lehner |
3- 5+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
128205x |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1059234097235997375 = 314 · 53 · 76 · 11 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10630057746015,-13339865865733771950] |
[a1,a2,a3,a4,a6] |
Generators |
[1444991092570052335376653464894704366:-3087139239634493539005639347404831148979:221967460959738554183190377192] |
Generators of the group modulo torsion |
j |
182222942430769497915947063063036536627441/1452996018156375 |
j-invariant |
L |
7.1821511221753 |
L(r)(E,1)/r! |
Ω |
0.0026440255572323 |
Real period |
R |
56.591038503363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999001644 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42735o4 |
Quadratic twists by: -3 |