Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520z |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
42250000 = 24 · 56 · 132 |
Discriminant |
Eigenvalues |
2- -1 5- -1 3 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-290,1975] |
[a1,a2,a3,a4,a6] |
Generators |
[5:25:1] |
Generators of the group modulo torsion |
j |
1000939264/15625 |
j-invariant |
L |
3.9499583222349 |
L(r)(E,1)/r! |
Ω |
2.0370340483244 |
Real period |
R |
0.32317888234646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3380e2 54080ca2 121680dg2 67600bl2 |
Quadratic twists by: -4 8 -3 5 |