Atkin-Lehner |
2- 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
28314bd |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
17709897348 = 22 · 39 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11+ 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1244,15931] |
[a1,a2,a3,a4,a6] |
Generators |
[254:571:8] |
Generators of the group modulo torsion |
j |
8120601/676 |
j-invariant |
L |
9.2839626469922 |
L(r)(E,1)/r! |
Ω |
1.1998694378922 |
Real period |
R |
1.9343693475727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28314b1 28314a1 |
Quadratic twists by: -3 -11 |