Atkin-Lehner |
2- 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86112w |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59392 |
Modular degree for the optimal curve |
Δ |
516672 = 26 · 33 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 -4 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1197,15940] |
[a1,a2,a3,a4,a6] |
Generators |
[21:8:1] [32:102:1] |
Generators of the group modulo torsion |
j |
109764631872/299 |
j-invariant |
L |
6.8029689016895 |
L(r)(E,1)/r! |
Ω |
2.5475847790327 |
Real period |
R |
2.6703601615436 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112d1 86112c1 |
Quadratic twists by: -4 -3 |