Atkin-Lehner |
2+ 3+ 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150c |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5.6105606305102E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14223367650,-652914586570500] |
[a1,a2,a3,a4,a6] |
Generators |
[182979752216474979384002876944951871234422063121265033259641178026668005422705339629028304194495:88293290562329800081793645668720620719916198710260563180278322857276266367123594276538457597577640:630739174724724231807041190990635486354338377078048252690608048774500307270865165102649091] |
Generators of the group modulo torsion |
j |
-20366246413601921800730264590369/35907588035265137625000 |
j-invariant |
L |
4.0749453507024 |
L(r)(E,1)/r! |
Ω |
0.0069122415151933 |
Real period |
R |
147.38147320755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430bi2 |
Quadratic twists by: 5 |