Atkin-Lehner |
2- 3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
19188s |
Isogeny class |
Conductor |
19188 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
249984 |
Modular degree for the optimal curve |
Δ |
1040497525631506176 = 28 · 327 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-329871,53936998] |
[a1,a2,a3,a4,a6] |
Generators |
[-13938890:482830956:42875] |
Generators of the group modulo torsion |
j |
21271035361447888/5575368257199 |
j-invariant |
L |
6.5647752274988 |
L(r)(E,1)/r! |
Ω |
0.25882044593892 |
Real period |
R |
12.682103231226 |
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 |
76752ck1 6396f1 |
Quadratic twists by: -4 -3 |