Atkin-Lehner |
3- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13545j |
Isogeny class |
Conductor |
13545 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
386985038055876225 = 320 · 52 · 74 · 432 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-865202,308526104] |
[a1,a2,a3,a4,a6] |
Generators |
[487:1336:1] |
Generators of the group modulo torsion |
j |
98253551457664019929/530843673602025 |
j-invariant |
L |
3.0341417776106 |
L(r)(E,1)/r! |
Ω |
0.3021674160407 |
Real period |
R |
5.0206303137628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4515f2 67725z2 94815m2 |
Quadratic twists by: -3 5 -7 |