Atkin-Lehner |
2- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
10712b |
Isogeny class |
Conductor |
10712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-753096448 = -1 · 28 · 134 · 103 |
Discriminant |
Eigenvalues |
2- 0 -2 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-191,1666] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:34:1] |
Generators of the group modulo torsion |
j |
-3010120272/2941783 |
j-invariant |
L |
3.4330649494842 |
L(r)(E,1)/r! |
Ω |
1.457156168064 |
Real period |
R |
2.3560034433683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21424d1 85696b1 96408h1 |
Quadratic twists by: -4 8 -3 |