Atkin-Lehner |
3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15015n |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-3198626305875 = -1 · 32 · 53 · 76 · 11 · 133 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11- 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,3479,-33014] |
[a1,a2,a3,a4,a6] |
Generators |
[14:136:1] |
Generators of the group modulo torsion |
j |
4655455280562176/3198626305875 |
j-invariant |
L |
4.5629584959918 |
L(r)(E,1)/r! |
Ω |
0.45119114296783 |
Real period |
R |
0.28092051248426 |
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 |
45045bk2 75075j2 105105bg2 |
Quadratic twists by: -3 5 -7 |