Atkin-Lehner |
7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2093d |
Isogeny class |
Conductor |
2093 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-625807 = -1 · 7 · 132 · 232 |
Discriminant |
Eigenvalues |
-1 2 0 7- -4 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,17,-20] |
[a1,a2,a3,a4,a6] |
j |
541343375/625807 |
j-invariant |
L |
1.553923246413 |
L(r)(E,1)/r! |
Ω |
1.553923246413 |
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 |
33488n1 18837j1 52325h1 14651l1 |
Quadratic twists by: -4 -3 5 -7 |