Atkin-Lehner |
2+ 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129214a |
Isogeny class |
Conductor |
129214 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2778048 |
Modular degree for the optimal curve |
Δ |
-1214313001783184944 = -1 · 24 · 23 · 539 |
Discriminant |
Eigenvalues |
2+ 0 -1 4 -6 -5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-735080,248487344] |
[a1,a2,a3,a4,a6] |
Generators |
[191800:1095116:343] |
Generators of the group modulo torsion |
j |
-13312053/368 |
j-invariant |
L |
3.7026482360102 |
L(r)(E,1)/r! |
Ω |
0.27245288535153 |
Real period |
R |
3.3975124658616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998342891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129214d1 |
Quadratic twists by: 53 |