Atkin-Lehner |
2+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51680b |
Isogeny class |
Conductor |
51680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-267082240000 = -1 · 212 · 54 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 -2 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1359,-16159] |
[a1,a2,a3,a4,a6] |
j |
67717750976/65205625 |
j-invariant |
L |
2.139680095998 |
L(r)(E,1)/r! |
Ω |
0.53492002392194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51680d2 103360ct1 |
Quadratic twists by: -4 8 |