Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
26550cg |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-25201757812500 = -1 · 22 · 37 · 511 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -6 5 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15980,818147] |
[a1,a2,a3,a4,a6] |
j |
-39616946929/2212500 |
j-invariant |
L |
5.2990603745904 |
L(r)(E,1)/r! |
Ω |
0.66238254682385 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8850l1 5310h1 |
Quadratic twists by: -3 5 |