Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190co |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
Δ |
-3.7728295502783E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8141911,-8947621759] |
[a1,a2,a3,a4,a6] |
Generators |
[3644:97043:1] |
Generators of the group modulo torsion |
j |
-4076918475185827892929/2576893347639000 |
j-invariant |
L |
10.035621070222 |
L(r)(E,1)/r! |
Ω |
0.044686002696609 |
Real period |
R |
1.663561951562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190v2 |
Quadratic twists by: -11 |