Atkin-Lehner |
2- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10336m |
Isogeny class |
Conductor |
10336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-1323008 = -1 · 212 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3 0 0 -6 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40,-112] |
[a1,a2,a3,a4,a6] |
Generators |
[336:980:27] |
Generators of the group modulo torsion |
j |
-1728000/323 |
j-invariant |
L |
7.4099535054875 |
L(r)(E,1)/r! |
Ω |
0.93966971747548 |
Real period |
R |
3.9428500076576 |
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 |
10336g1 20672t1 93024c1 |
Quadratic twists by: -4 8 -3 |