Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
26450t |
Isogeny class |
Conductor |
26450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
198720 |
Modular degree for the optimal curve |
Δ |
-4894436580062500 = -1 · 22 · 56 · 238 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 6 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6337,-3357719] |
[a1,a2,a3,a4,a6] |
Generators |
[7161060738283588:-3528165247895753181:29560954688] |
Generators of the group modulo torsion |
j |
23/4 |
j-invariant |
L |
11.62389675965 |
L(r)(E,1)/r! |
Ω |
0.20413405287342 |
Real period |
R |
28.471233966186 |
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 |
1058b1 26450s1 |
Quadratic twists by: 5 -23 |