Atkin-Lehner |
3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
3255a |
Isogeny class |
Conductor |
3255 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
51513276425625 = 36 · 54 · 76 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9426,65574] |
[a1,a2,a3,a4,a6] |
j |
92620878949474849/51513276425625 |
j-invariant |
L |
0.54773618467808 |
L(r)(E,1)/r! |
Ω |
0.54773618467808 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52080bu2 9765l2 16275u2 22785q2 |
Quadratic twists by: -4 -3 5 -7 |