Atkin-Lehner |
3- 11- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
86229l |
Isogeny class |
Conductor |
86229 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
303417755767269 = 38 · 11 · 137 · 67 |
Discriminant |
Eigenvalues |
-2 3- -3 -2 11- 13- -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17499,302472] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:-761:1] [-42:981:1] |
Generators of the group modulo torsion |
j |
812897667223552/416210913261 |
j-invariant |
L |
4.2648949468142 |
L(r)(E,1)/r! |
Ω |
0.48115507412855 |
Real period |
R |
0.63313341110123 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28743f1 |
Quadratic twists by: -3 |