Atkin-Lehner |
2- 3+ 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150dd |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
380 |
Product of Tamagawa factors cp |
deg |
155258880 |
Modular degree for the optimal curve |
Δ |
-5.3514713452224E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 3 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-510583205,-11983033335203] |
[a1,a2,a3,a4,a6] |
Generators |
[44479:7278560:1] |
Generators of the group modulo torsion |
j |
-47864328251166811289619/174005063300429643776 |
j-invariant |
L |
8.9699548807243 |
L(r)(E,1)/r! |
Ω |
0.014554743134379 |
Real period |
R |
1.6218180013684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150h1 4446a1 |
Quadratic twists by: -3 5 |