Atkin-Lehner |
2- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6992s |
Isogeny class |
Conductor |
6992 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
21681956982882304 = 237 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 3 1 -2 -5 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-211027,-36633838] |
[a1,a2,a3,a4,a6] |
Generators |
[-6603:15922:27] |
Generators of the group modulo torsion |
j |
253733516886870441/5293446529024 |
j-invariant |
L |
6.5584685733044 |
L(r)(E,1)/r! |
Ω |
0.22303139170565 |
Real period |
R |
4.9010055812832 |
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 |
874b1 27968bk1 62928bn1 |
Quadratic twists by: -4 8 -3 |