Atkin-Lehner |
2+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
116800o |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
1868800 = 210 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 0 -4 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73,-257] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:1:1] [114:1219:1] |
Generators of the group modulo torsion |
j |
1703680/73 |
j-invariant |
L |
11.889450802921 |
L(r)(E,1)/r! |
Ω |
1.6357702662162 |
Real period |
R |
7.2684111272389 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800cl1 7300d1 116800ba1 |
Quadratic twists by: -4 8 5 |