Atkin-Lehner |
2- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44992bk |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
126144610304 = 217 · 19 · 373 |
Discriminant |
Eigenvalues |
2- -2 -3 0 -1 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5537,-159521] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:16:1] |
Generators of the group modulo torsion |
j |
143256979154/962407 |
j-invariant |
L |
2.9965695961219 |
L(r)(E,1)/r! |
Ω |
0.55366898165638 |
Real period |
R |
1.3530510536942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44992f1 11248a1 |
Quadratic twists by: -4 8 |