Atkin-Lehner |
3+ 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
51675g |
Isogeny class |
Conductor |
51675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3209501953125 = 32 · 510 · 13 · 532 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -2 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1083250,-434403125] |
[a1,a2,a3,a4,a6] |
j |
8996848464949420321/205408125 |
j-invariant |
L |
2.6637277400686 |
L(r)(E,1)/r! |
Ω |
0.14798487454072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10335g2 |
Quadratic twists by: 5 |