Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15162bc |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-8559715772664 = -1 · 23 · 32 · 7 · 198 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 0 -1 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-64446,-6304068] |
[a1,a2,a3,a4,a6] |
Generators |
[10202:1025042:1] |
Generators of the group modulo torsion |
j |
-1742943169/504 |
j-invariant |
L |
7.8946538934776 |
L(r)(E,1)/r! |
Ω |
0.14981765620921 |
Real period |
R |
8.7825139052739 |
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 |
121296cb1 45486f1 106134bu1 15162e1 |
Quadratic twists by: -4 -3 -7 -19 |