Atkin-Lehner |
3+ 7- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86583l |
Isogeny class |
Conductor |
86583 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
746517846753 = 34 · 77 · 192 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6477507,6342714888] |
[a1,a2,a3,a4,a6] |
Generators |
[30918:1565473:8] |
Generators of the group modulo torsion |
j |
255481318714345579297/6345297 |
j-invariant |
L |
3.2524500675768 |
L(r)(E,1)/r! |
Ω |
0.471822867311 |
Real period |
R |
6.8933709998435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907521 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12369e1 |
Quadratic twists by: -7 |