Atkin-Lehner |
3- 5+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
51675u |
Isogeny class |
Conductor |
51675 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
842301692578125 = 310 · 58 · 13 · 532 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 2 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36626,-2311477] |
[a1,a2,a3,a4,a6] |
j |
347740371686161/53907308325 |
j-invariant |
L |
3.4870701152231 |
L(r)(E,1)/r! |
Ω |
0.34870701176328 |
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 |
10335c2 |
Quadratic twists by: 5 |