Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
26208s |
Isogeny class |
Conductor |
26208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-2445520896 = -1 · 212 · 38 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264,2896] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-36:1] |
Generators of the group modulo torsion |
j |
-681472/819 |
j-invariant |
L |
4.401401507877 |
L(r)(E,1)/r! |
Ω |
1.311932968875 |
Real period |
R |
0.838724540868 |
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 |
26208bh1 52416df1 8736w1 |
Quadratic twists by: -4 8 -3 |