Atkin-Lehner |
2+ 3- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
26910v |
Isogeny class |
Conductor |
26910 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-689590493280000 = -1 · 28 · 38 · 54 · 134 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16146,982228] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:-871:1] |
Generators of the group modulo torsion |
j |
638522048185631/945940320000 |
j-invariant |
L |
3.4916566377895 |
L(r)(E,1)/r! |
Ω |
0.34566461140612 |
Real period |
R |
0.31566514572336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8970l1 |
Quadratic twists by: -3 |