Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15504j |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8653464576 = 210 · 34 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7752,260100] |
[a1,a2,a3,a4,a6] |
Generators |
[0:510:1] |
Generators of the group modulo torsion |
j |
50317733422372/8450649 |
j-invariant |
L |
6.7076225870178 |
L(r)(E,1)/r! |
Ω |
1.263213125742 |
Real period |
R |
1.3274922596845 |
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 |
7752h2 62016cj2 46512b2 |
Quadratic twists by: -4 8 -3 |