Atkin-Lehner |
3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14157i |
Isogeny class |
Conductor |
14157 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-35503916708403 = -1 · 315 · 114 · 132 |
Discriminant |
Eigenvalues |
0 3- -2 -5 11- 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3547236,2571480535] |
[a1,a2,a3,a4,a6] |
Generators |
[1081:364:1] |
Generators of the group modulo torsion |
j |
-462482914449031168/3326427 |
j-invariant |
L |
1.9678358909943 |
L(r)(E,1)/r! |
Ω |
0.44923084881774 |
Real period |
R |
0.54755697882645 |
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 |
4719b1 14157s1 |
Quadratic twists by: -3 -11 |