Atkin-Lehner |
3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
49419f |
Isogeny class |
Conductor |
49419 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-334329468219 = -1 · 36 · 176 · 19 |
Discriminant |
Eigenvalues |
0 3- 3 1 3 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2001036,1089508108] |
[a1,a2,a3,a4,a6] |
Generators |
[101330:37436:125] |
Generators of the group modulo torsion |
j |
-50357871050752/19 |
j-invariant |
L |
6.7387816818779 |
L(r)(E,1)/r! |
Ω |
0.57790852810652 |
Real period |
R |
5.8303186006892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5491a3 171b3 |
Quadratic twists by: -3 17 |