Atkin-Lehner |
2- 7+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
85904l |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
2499272400204944 = 24 · 75 · 13 · 595 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ -3 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-164909,25663479] |
[a1,a2,a3,a4,a6] |
Generators |
[86:3481:1] |
Generators of the group modulo torsion |
j |
30998223406135957248/156204525012809 |
j-invariant |
L |
1.7494263200641 |
L(r)(E,1)/r! |
Ω |
0.45994382045527 |
Real period |
R |
0.76071304418996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005657 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21476e1 |
Quadratic twists by: -4 |