Atkin-Lehner |
2+ 3+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
25896a |
Isogeny class |
Conductor |
25896 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-6629376 = -1 · 211 · 3 · 13 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 1 4 -1 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1080,14028] |
[a1,a2,a3,a4,a6] |
Generators |
[154:7:8] |
Generators of the group modulo torsion |
j |
-68087453042/3237 |
j-invariant |
L |
5.8505313951715 |
L(r)(E,1)/r! |
Ω |
2.2347562118255 |
Real period |
R |
2.6179729870366 |
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 |
51792c1 77688d1 |
Quadratic twists by: -4 -3 |