Atkin-Lehner |
2+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25792f |
Isogeny class |
Conductor |
25792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-1133504683311104 = -1 · 229 · 133 · 312 |
Discriminant |
Eigenvalues |
2+ 3 -1 -3 0 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20372,-1171024] |
[a1,a2,a3,a4,a6] |
Generators |
[221112:4182148:729] |
Generators of the group modulo torsion |
j |
3566849562639/4323977216 |
j-invariant |
L |
8.3348959865152 |
L(r)(E,1)/r! |
Ω |
0.26213212187266 |
Real period |
R |
7.9491364192329 |
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 |
25792bd1 806d1 |
Quadratic twists by: -4 8 |