Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768co |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1403264565248 = -1 · 217 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 1 0 7- 3 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,-62945] |
[a1,a2,a3,a4,a6] |
Generators |
[471:10192:1] |
Generators of the group modulo torsion |
j |
-31250/91 |
j-invariant |
L |
6.5659991793177 |
L(r)(E,1)/r! |
Ω |
0.3475363849488 |
Real period |
R |
2.3616229349215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768s1 10192g1 5824u1 |
Quadratic twists by: -4 8 -7 |