Atkin-Lehner |
2- 7- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
28196d |
Isogeny class |
Conductor |
28196 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
264000 |
Modular degree for the optimal curve |
Δ |
-593122305974456048 = -1 · 24 · 710 · 195 · 53 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -3 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-615494,-189311675] |
[a1,a2,a3,a4,a6] |
Generators |
[1047:17689:1] |
Generators of the group modulo torsion |
j |
-1611669198989097110272/37070144123403503 |
j-invariant |
L |
2.8403563979538 |
L(r)(E,1)/r! |
Ω |
0.085108459531015 |
Real period |
R |
0.66746746765373 |
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 |
112784m1 |
Quadratic twists by: -4 |