Atkin-Lehner |
2- 5- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121030bi |
Isogeny class |
Conductor |
121030 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
10368000 |
Modular degree for the optimal curve |
Δ |
-2.0073618616678E+19 |
Discriminant |
Eigenvalues |
2- 3 5- 7- -5 13+ 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-422757,-240019811] |
[a1,a2,a3,a4,a6] |
Generators |
[47829:-1848688:27] |
Generators of the group modulo torsion |
j |
-71024294922268689/170622942963200 |
j-invariant |
L |
21.497601807112 |
L(r)(E,1)/r! |
Ω |
0.087338491610912 |
Real period |
R |
1.7093139379785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17290m1 |
Quadratic twists by: -7 |