Atkin-Lehner |
2+ 3- 7+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
115038m |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-259407799785288 = -1 · 23 · 38 · 72 · 114 · 832 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13167,508869] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-1059:1] |
Generators of the group modulo torsion |
j |
346288554179567/355840603272 |
j-invariant |
L |
3.6898854212925 |
L(r)(E,1)/r! |
Ω |
0.36496448586336 |
Real period |
R |
0.63189118278114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999213189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38346o2 |
Quadratic twists by: -3 |