Atkin-Lehner |
2+ 3+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10374a |
Isogeny class |
Conductor |
10374 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
4350108672 = 210 · 33 · 72 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 2 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1731,26829] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:213:1] |
Generators of the group modulo torsion |
j |
574125551923897/4350108672 |
j-invariant |
L |
2.1989922484496 |
L(r)(E,1)/r! |
Ω |
1.3887723972997 |
Real period |
R |
0.7917036127465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992cn1 31122x1 72618bh1 |
Quadratic twists by: -4 -3 -7 |