Atkin-Lehner |
2+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
51136b |
Isogeny class |
Conductor |
51136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1780350976 = 217 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 -2 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8044,277680] |
[a1,a2,a3,a4,a6] |
Generators |
[53:15:1] [70:240:1] |
Generators of the group modulo torsion |
j |
439167275874/13583 |
j-invariant |
L |
9.6439198724087 |
L(r)(E,1)/r! |
Ω |
1.3873510728263 |
Real period |
R |
3.4756595000726 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51136g2 6392b2 |
Quadratic twists by: -4 8 |