Atkin-Lehner |
2+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51376k |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1624303616 = 211 · 133 · 192 |
Discriminant |
Eigenvalues |
2+ 2 2 2 0 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-472,3600] |
[a1,a2,a3,a4,a6] |
Generators |
[0:60:1] |
Generators of the group modulo torsion |
j |
2590058/361 |
j-invariant |
L |
10.93175526181 |
L(r)(E,1)/r! |
Ω |
1.4416528195801 |
Real period |
R |
1.8956983112277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25688d2 51376h2 |
Quadratic twists by: -4 13 |