Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55176o |
Isogeny class |
Conductor |
55176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-514906467486124032 = -1 · 211 · 32 · 118 · 194 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-475328,-130933728] |
[a1,a2,a3,a4,a6] |
Generators |
[17647435468:1017018453627:5088448] |
Generators of the group modulo torsion |
j |
-3273548323250/141919569 |
j-invariant |
L |
8.8515179135844 |
L(r)(E,1)/r! |
Ω |
0.090682028440867 |
Real period |
R |
12.20131219187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999908 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110352f2 5016c2 |
Quadratic twists by: -4 -11 |