Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840bp |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
670983782400 = 222 · 34 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-873676801,-9939432645215] |
[a1,a2,a3,a4,a6] |
Generators |
[-398298324873254240454700850307180575356336542529233807744:-69671902399711924357446158169778464767101835477033:23340071780065735100202614429121337990276051971866624] |
Generators of the group modulo torsion |
j |
281343057218179728015052801/2559600 |
j-invariant |
L |
4.5031019036543 |
L(r)(E,1)/r! |
Ω |
0.027769103147051 |
Real period |
R |
81.081154810511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002718 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840v4 18960w3 |
Quadratic twists by: -4 8 |