Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424ch |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-3462331392 = -1 · 210 · 34 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 2 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-417,4473] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:9:1] |
Generators of the group modulo torsion |
j |
-7850060032/3381183 |
j-invariant |
L |
6.6213023029053 |
L(r)(E,1)/r! |
Ω |
1.3184450220357 |
Real period |
R |
2.5110270782029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424bd1 11856n1 |
Quadratic twists by: -4 8 |