Atkin-Lehner |
2- 11+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
115258n |
Isogeny class |
Conductor |
115258 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
155796480 |
Modular degree for the optimal curve |
Δ |
-1.7328688168518E+25 |
Discriminant |
Eigenvalues |
2- 3 -3 3 11+ 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3533992494,-80861749746371] |
[a1,a2,a3,a4,a6] |
Generators |
[111092979:225265838305:27] |
Generators of the group modulo torsion |
j |
-1011254498219607405613664697/3590091956926052864 |
j-invariant |
L |
17.66834844119 |
L(r)(E,1)/r! |
Ω |
0.0097904591755793 |
Real period |
R |
6.2661445175615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8866g1 |
Quadratic twists by: 13 |