Atkin-Lehner |
2- 3- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
31356f |
Isogeny class |
Conductor |
31356 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1462945536 = 28 · 38 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -6 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41799,-3289250] |
[a1,a2,a3,a4,a6] |
Generators |
[243:950:1] |
Generators of the group modulo torsion |
j |
43276675795792/7839 |
j-invariant |
L |
4.9731320426648 |
L(r)(E,1)/r! |
Ω |
0.33389359367162 |
Real period |
R |
4.9647873223904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125424v2 10452c2 |
Quadratic twists by: -4 -3 |