Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55016d |
Isogeny class |
Conductor |
55016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-352356832588507136 = -1 · 211 · 133 · 238 |
Discriminant |
Eigenvalues |
2- -1 1 1 -2 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,160640,14142188] |
[a1,a2,a3,a4,a6] |
Generators |
[46722579:1418161186:132651] |
Generators of the group modulo torsion |
j |
1512116062/1162213 |
j-invariant |
L |
4.3609002281484 |
L(r)(E,1)/r! |
Ω |
0.19420833267767 |
Real period |
R |
11.227376724852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110032a1 2392a1 |
Quadratic twists by: -4 -23 |