Atkin-Lehner |
2+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
59360b |
Isogeny class |
Conductor |
59360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-265932800 = -1 · 212 · 52 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 4 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,-785] |
[a1,a2,a3,a4,a6] |
Generators |
[27:140:1] |
Generators of the group modulo torsion |
j |
-64/64925 |
j-invariant |
L |
6.6558820329346 |
L(r)(E,1)/r! |
Ω |
0.79841016343446 |
Real period |
R |
0.52102621698611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59360d1 118720ba1 |
Quadratic twists by: -4 8 |