Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210dk |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
2560597521908409000 = 23 · 36 · 53 · 378 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2402852,1432166879] |
[a1,a2,a3,a4,a6] |
j |
599188249/1000 |
j-invariant |
L |
6.9321036835653 |
L(r)(E,1)/r! |
Ω |
0.25674458878419 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
13690a2 123210bd2 |
Quadratic twists by: -3 37 |