Atkin-Lehner |
2+ 3+ 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
80592a |
Isogeny class |
Conductor |
80592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
541029341262403584 = 211 · 311 · 234 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 2 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7571144,8020895184] |
[a1,a2,a3,a4,a6] |
Generators |
[19485278:-9976702:12167] |
Generators of the group modulo torsion |
j |
23435721924943450307474/264174483038283 |
j-invariant |
L |
5.8509233759945 |
L(r)(E,1)/r! |
Ω |
0.26509544292367 |
Real period |
R |
11.035503500012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40296f2 |
Quadratic twists by: -4 |