Atkin-Lehner |
2- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
118976cs |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-122315858879971328 = -1 · 220 · 11 · 139 |
Discriminant |
Eigenvalues |
2- 0 -2 4 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61516,-17822064] |
[a1,a2,a3,a4,a6] |
Generators |
[1248518706078:50763534381568:736314327] |
Generators of the group modulo torsion |
j |
-9261/44 |
j-invariant |
L |
5.1372548495735 |
L(r)(E,1)/r! |
Ω |
0.13718231649674 |
Real period |
R |
18.724187313075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000134937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118976bs1 29744bi1 118976dt1 |
Quadratic twists by: -4 8 13 |