Atkin-Lehner |
2- 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
31416p |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-31583402909549568 = -1 · 210 · 32 · 78 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11- -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,78400,1337424] |
[a1,a2,a3,a4,a6] |
Generators |
[280:6732:1] |
Generators of the group modulo torsion |
j |
52043489006342396/30843166903857 |
j-invariant |
L |
4.0288065460554 |
L(r)(E,1)/r! |
Ω |
0.22573661470226 |
Real period |
R |
1.4872814464803 |
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 |
62832i2 94248g2 |
Quadratic twists by: -4 -3 |