Atkin-Lehner |
2+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
26144a |
Isogeny class |
Conductor |
26144 |
Conductor |
∏ cp |
4 |
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 |
[308:3698:1] |
Generators of the group modulo torsion |
j |
-98182727434637000/23449556059 |
j-invariant |
L |
2.8380793559268 |
L(r)(E,1)/r! |
Ω |
0.69574765270234 |
Real period |
R |
1.0197948009251 |
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 |
26144b1 52288t1 |
Quadratic twists by: -4 8 |