Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970br |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
7.4857742485313E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7384388,6507677031] |
[a1,a2,a3,a4,a6] |
Generators |
[825:30837:1] |
Generators of the group modulo torsion |
j |
61085713691774408830201/10268551781250000000 |
j-invariant |
L |
6.6461334017825 |
L(r)(E,1)/r! |
Ω |
0.12604847693757 |
Real period |
R |
1.8831001609332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760eb3 3990g4 59850cd3 83790fr3 |
Quadratic twists by: -4 -3 5 -7 |