Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19950t |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1685376 |
Modular degree for the optimal curve |
Δ |
-1.507875264E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -5 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5610151,-7814777302] |
[a1,a2,a3,a4,a6] |
Generators |
[4972:292826:1] |
Generators of the group modulo torsion |
j |
-1249761744922780803169/965040168960000000 |
j-invariant |
L |
4.0783172709302 |
L(r)(E,1)/r! |
Ω |
0.047466197768574 |
Real period |
R |
1.9527375952186 |
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 |
59850ew1 3990r1 |
Quadratic twists by: -3 5 |