Atkin-Lehner |
3- 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
86775u |
Isogeny class |
Conductor |
86775 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
13178953125 = 36 · 56 · 13 · 89 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 0 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-11458,468244] |
[a1,a2,a3,a4,a6] |
Generators |
[53:-113:1] |
Generators of the group modulo torsion |
j |
10648000000000/843453 |
j-invariant |
L |
3.9259275124515 |
L(r)(E,1)/r! |
Ω |
1.2008470424273 |
Real period |
R |
0.27244154757556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999981575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3471b1 |
Quadratic twists by: 5 |