Atkin-Lehner |
3- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25641k |
Isogeny class |
Conductor |
25641 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
234240 |
Modular degree for the optimal curve |
Δ |
-181199029824558207 = -1 · 36 · 7 · 1110 · 372 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-481356,130284499] |
[a1,a2,a3,a4,a6] |
j |
-16919824733903238337/248558339951383 |
j-invariant |
L |
3.2105225650084 |
L(r)(E,1)/r! |
Ω |
0.32105225650082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2849a1 |
Quadratic twists by: -3 |