Atkin-Lehner |
3- 5+ 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
25665j |
Isogeny class |
Conductor |
25665 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
51168 |
Modular degree for the optimal curve |
Δ |
-9888589117125 = -1 · 313 · 53 · 292 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ 1 -6 -5 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4219,-108114] |
[a1,a2,a3,a4,a6] |
Generators |
[43:370:1] |
Generators of the group modulo torsion |
j |
8305118904758831/9888589117125 |
j-invariant |
L |
3.013571047137 |
L(r)(E,1)/r! |
Ω |
0.38963244549684 |
Real period |
R |
0.29747671190021 |
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 |
76995o1 128325d1 |
Quadratic twists by: -3 5 |