Atkin-Lehner |
2+ 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51546c |
Isogeny class |
Conductor |
51546 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
323546858212921332 = 22 · 3 · 1114 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-586732,-170854906] |
[a1,a2,a3,a4,a6] |
Generators |
[373632:-7724165:343] |
Generators of the group modulo torsion |
j |
12609151481221777/182633766612 |
j-invariant |
L |
3.8760719830452 |
L(r)(E,1)/r! |
Ω |
0.17265161041502 |
Real period |
R |
11.225125481853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4686c4 |
Quadratic twists by: -11 |