Atkin-Lehner |
2+ 3+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119130c |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8025600 |
Modular degree for the optimal curve |
Δ |
-1.1527903449022E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1050142,-1579729152] |
[a1,a2,a3,a4,a6] |
Generators |
[3051835750:120121021066:1953125] |
Generators of the group modulo torsion |
j |
396903329549/3572464500 |
j-invariant |
L |
4.0209792233635 |
L(r)(E,1)/r! |
Ω |
0.076356886490357 |
Real period |
R |
13.165083799045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999657909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119130bm1 |
Quadratic twists by: -19 |