Atkin-Lehner |
2+ 3+ 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56280a |
Isogeny class |
Conductor |
56280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
41984 |
Modular degree for the optimal curve |
Δ |
-6598830000 = -1 · 24 · 3 · 54 · 72 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,469,0] |
[a1,a2,a3,a4,a6] |
Generators |
[63:525:1] |
Generators of the group modulo torsion |
j |
711534442496/412426875 |
j-invariant |
L |
4.4310504138775 |
L(r)(E,1)/r! |
Ω |
0.80108411493957 |
Real period |
R |
1.3828293219528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998222 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112560r1 |
Quadratic twists by: -4 |