Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35568r |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-39438118512 = -1 · 24 · 310 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 13- 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-939,-14627] |
[a1,a2,a3,a4,a6] |
Generators |
[44:171:1] |
Generators of the group modulo torsion |
j |
-7850060032/3381183 |
j-invariant |
L |
7.7093023483973 |
L(r)(E,1)/r! |
Ω |
0.42236324997945 |
Real period |
R |
3.0421295526905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17784t1 11856n1 |
Quadratic twists by: -4 -3 |