Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560de |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
26427824640000 = 212 · 36 · 54 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61216,5804084] |
[a1,a2,a3,a4,a6] |
Generators |
[20:2142:1] |
Generators of the group modulo torsion |
j |
6193921595708449/6452105625 |
j-invariant |
L |
5.6367578813787 |
L(r)(E,1)/r! |
Ω |
0.66540620808294 |
Real period |
R |
0.70592942738171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1785c2 114240gr2 85680fe2 |
Quadratic twists by: -4 8 -3 |