Atkin-Lehner |
7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
26047a |
Isogeny class |
Conductor |
26047 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81840 |
Modular degree for the optimal curve |
Δ |
-21999199852147 = -1 · 7 · 617 |
Discriminant |
Eigenvalues |
0 2 4 7+ 2 2 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4961,-261056] |
[a1,a2,a3,a4,a6] |
Generators |
[9724704:153036064:35937] |
Generators of the group modulo torsion |
j |
-262144/427 |
j-invariant |
L |
8.2005635565647 |
L(r)(E,1)/r! |
Ω |
0.26924715149318 |
Real period |
R |
7.6143456960327 |
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 |
427a1 |
Quadratic twists by: 61 |