Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5040bc |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1905042624694272000 = -1 · 214 · 318 · 53 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,276837,35589962] |
[a1,a2,a3,a4,a6] |
Generators |
[2279:111818:1] |
Generators of the group modulo torsion |
j |
785793873833639/637994920500 |
j-invariant |
L |
3.5435573885183 |
L(r)(E,1)/r! |
Ω |
0.16983668572263 |
Real period |
R |
5.2161247928282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
630i5 20160en5 1680m5 25200eg4 |
Quadratic twists by: -4 8 -3 5 |