Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424bf |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
933446592 = 26 · 310 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -4 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-248,246] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:42:1] |
Generators of the group modulo torsion |
j |
26463592000/14585103 |
j-invariant |
L |
7.0400846520978 |
L(r)(E,1)/r! |
Ω |
1.3642085503003 |
Real period |
R |
2.0642253416592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47424b1 23712d2 |
Quadratic twists by: -4 8 |