Atkin-Lehner |
2+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
26144b |
Isogeny class |
Conductor |
26144 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
66048 |
Modular degree for the optimal curve |
Δ |
-12006172702208 = -1 · 29 · 193 · 434 |
Discriminant |
Eigenvalues |
2+ 1 0 3 2 1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76888,-8233460] |
[a1,a2,a3,a4,a6] |
Generators |
[7647:668306:1] |
Generators of the group modulo torsion |
j |
-98182727434637000/23449556059 |
j-invariant |
L |
7.1886760846328 |
L(r)(E,1)/r! |
Ω |
0.14335017408414 |
Real period |
R |
4.1789718374143 |
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 |
26144a1 52288n1 |
Quadratic twists by: -4 8 |