Atkin-Lehner |
2- 3- 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97290bg |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
530178121398960 = 24 · 310 · 5 · 23 · 474 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-92048,-10668733] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:309:1] [-165:163:1] |
Generators of the group modulo torsion |
j |
118313643995499961/727267656240 |
j-invariant |
L |
15.115558806482 |
L(r)(E,1)/r! |
Ω |
0.27419348793349 |
Real period |
R |
6.8909180347052 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430l3 |
Quadratic twists by: -3 |