Atkin-Lehner |
2+ 3+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
26448a |
Isogeny class |
Conductor |
26448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-3803513328 = -1 · 24 · 33 · 192 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 1 -5 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,112,2895] |
[a1,a2,a3,a4,a6] |
Generators |
[3:57:1] |
Generators of the group modulo torsion |
j |
9624416000/237719583 |
j-invariant |
L |
3.5099753181792 |
L(r)(E,1)/r! |
Ω |
1.0482584625883 |
Real period |
R |
1.6741936475821 |
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 |
13224b1 105792by1 79344j1 |
Quadratic twists by: -4 8 -3 |