Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
26208k |
Isogeny class |
Conductor |
26208 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
3477225024 = 26 · 38 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-381,380] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:56:1] [-8:54:1] |
Generators of the group modulo torsion |
j |
131096512/74529 |
j-invariant |
L |
7.0404586417277 |
L(r)(E,1)/r! |
Ω |
1.2093569696248 |
Real period |
R |
2.9108273316162 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26208bq1 52416ca2 8736n1 |
Quadratic twists by: -4 8 -3 |