Atkin-Lehner |
3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
49419l |
Isogeny class |
Conductor |
49419 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-8868339228123 = -1 · 36 · 173 · 195 |
Discriminant |
Eigenvalues |
-2 3- -2 2 0 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4029,104112] |
[a1,a2,a3,a4,a6] |
Generators |
[204:3068:1] |
Generators of the group modulo torsion |
j |
2019487744/2476099 |
j-invariant |
L |
2.6999615659965 |
L(r)(E,1)/r! |
Ω |
0.49038618821128 |
Real period |
R |
0.55057863189065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998598 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5491e2 49419k2 |
Quadratic twists by: -3 17 |