Atkin-Lehner |
2+ 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
26488d |
Isogeny class |
Conductor |
26488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-52976 = -1 · 24 · 7 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 11+ 6 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,0,-11] |
[a1,a2,a3,a4,a6] |
Generators |
[6:13:1] |
Generators of the group modulo torsion |
j |
-256/3311 |
j-invariant |
L |
5.2481436325949 |
L(r)(E,1)/r! |
Ω |
1.6155416193616 |
Real period |
R |
1.6242675427541 |
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 |
52976d1 |
Quadratic twists by: -4 |