Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
14300l |
Isogeny class |
Conductor |
14300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
157300000000 = 28 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -1 5- 2 11- 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3333,-70463] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:50:1] |
Generators of the group modulo torsion |
j |
40960000/1573 |
j-invariant |
L |
4.3434015078978 |
L(r)(E,1)/r! |
Ω |
0.62980459531977 |
Real period |
R |
0.38313484144965 |
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 |
57200ce1 128700br1 14300e1 |
Quadratic twists by: -4 -3 5 |