Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190bl |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
696960 |
Modular degree for the optimal curve |
Δ |
-19745977000103640 = -1 · 23 · 311 · 5 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11- 13- 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-735683,-243030922] |
[a1,a2,a3,a4,a6] |
Generators |
[2772:136525:1] |
Generators of the group modulo torsion |
j |
-205425117472201/92116440 |
j-invariant |
L |
5.6429282082622 |
L(r)(E,1)/r! |
Ω |
0.081505190750735 |
Real period |
R |
6.2939975816946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190da1 |
Quadratic twists by: -11 |