Atkin-Lehner |
2+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66640h |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2132515185920000 = 211 · 54 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 6 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1304723,-573617422] |
[a1,a2,a3,a4,a6] |
Generators |
[2429:102900:1] |
Generators of the group modulo torsion |
j |
1019437193909682/8850625 |
j-invariant |
L |
5.1850942388269 |
L(r)(E,1)/r! |
Ω |
0.14126032507367 |
Real period |
R |
2.2941217906041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33320c2 9520d2 |
Quadratic twists by: -4 -7 |