Atkin-Lehner |
2- 3- 5+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
121410s |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
180992 |
Modular degree for the optimal curve |
Δ |
-87278613750 = -1 · 2 · 36 · 54 · 19 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -2 1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6113,-182969] |
[a1,a2,a3,a4,a6] |
Generators |
[287762350:444831907:3112136] |
Generators of the group modulo torsion |
j |
-34649164377801/119723750 |
j-invariant |
L |
12.037211309059 |
L(r)(E,1)/r! |
Ω |
0.26991167442983 |
Real period |
R |
11.14921335031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999445292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13490b1 |
Quadratic twists by: -3 |