Atkin-Lehner |
2+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26048d |
Isogeny class |
Conductor |
26048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-53346304 = -1 · 217 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ -2 -1 -2 11- 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,351] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:8:1] [-5:16:1] |
Generators of the group modulo torsion |
j |
-2/407 |
j-invariant |
L |
5.3824840038626 |
L(r)(E,1)/r! |
Ω |
1.5878674734255 |
Real period |
R |
0.84743911156691 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26048f1 3256a1 |
Quadratic twists by: -4 8 |