Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840q |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4.7612912691755E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43391254143,-3478975879780942] |
[a1,a2,a3,a4,a6] |
Generators |
[4473895584032810891780214936521526601287832140820320649343475609826391932617679545423370336361:-30622902705866683981306571845015173412264566741825074434700604156829428187276344718718579963787500:95489632766664944915437965053010272443195305112502240167519997434926511240799422354579] |
Generators of the group modulo torsion |
j |
48413092692798920640638000629456/2551274899892578125 |
j-invariant |
L |
6.0049419219652 |
L(r)(E,1)/r! |
Ω |
0.010460417148046 |
Real period |
R |
143.51583299637 |
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 |
85680i2 14280bl2 |
Quadratic twists by: -4 -3 |