Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
26550u |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-15677509500000 = -1 · 25 · 312 · 56 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 5 -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-160992,-24823584] |
[a1,a2,a3,a4,a6] |
Generators |
[691956:71550747:64] |
Generators of the group modulo torsion |
j |
-40512641613625/1376352 |
j-invariant |
L |
4.4684564156546 |
L(r)(E,1)/r! |
Ω |
0.11917014654532 |
Real period |
R |
9.3741103480881 |
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 |
8850bd1 1062k1 |
Quadratic twists by: -3 5 |