Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560ca |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-69506049600000000 = -1 · 212 · 32 · 58 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,94584,5992884] |
[a1,a2,a3,a4,a6] |
Generators |
[615:17238:1] |
Generators of the group modulo torsion |
j |
4733169839/3515625 |
j-invariant |
L |
6.3458807935519 |
L(r)(E,1)/r! |
Ω |
0.22135896845987 |
Real period |
R |
3.5834784771234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2535a6 121680en5 240d6 |
Quadratic twists by: -4 -3 13 |