Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115520cf |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
919296 |
Modular degree for the optimal curve |
Δ |
-44521391498199040 = -1 · 219 · 5 · 198 |
Discriminant |
Eigenvalues |
2- 0 5- -1 5 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-466412,-123023024] |
[a1,a2,a3,a4,a6] |
Generators |
[686622:109455200:27] |
Generators of the group modulo torsion |
j |
-2520369/10 |
j-invariant |
L |
6.7698692972698 |
L(r)(E,1)/r! |
Ω |
0.091321702732526 |
Real period |
R |
6.177674746599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999964289 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520r1 28880o1 115520co1 |
Quadratic twists by: -4 8 -19 |