Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680a |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1070571600 = 24 · 33 · 52 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-258,-257] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:30:1] |
Generators of the group modulo torsion |
j |
4396419072/2478175 |
j-invariant |
L |
6.3608738274351 |
L(r)(E,1)/r! |
Ω |
1.2828001481576 |
Real period |
R |
2.4792925994104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995849 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840b1 85680f1 |
Quadratic twists by: -4 -3 |