Atkin-Lehner |
2+ 3+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730b |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
16523105760 = 25 · 36 · 5 · 74 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 0 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-858,7092] |
[a1,a2,a3,a4,a6] |
Generators |
[3:66:1] |
Generators of the group modulo torsion |
j |
29146342729/6881760 |
j-invariant |
L |
3.9429190862578 |
L(r)(E,1)/r! |
Ω |
1.1622860431246 |
Real period |
R |
1.6961913621699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999981791 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730bl1 |
Quadratic twists by: -7 |