Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10192ba |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-2740751104 = -1 · 28 · 77 · 13 |
Discriminant |
Eigenvalues |
2- -2 -1 7- 4 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261,2911] |
[a1,a2,a3,a4,a6] |
Generators |
[23:98:1] |
Generators of the group modulo torsion |
j |
-65536/91 |
j-invariant |
L |
2.8842219140643 |
L(r)(E,1)/r! |
Ω |
1.2934150080983 |
Real period |
R |
0.27874095862558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2548h1 40768dv1 91728dw1 1456m1 |
Quadratic twists by: -4 8 -3 -7 |