Atkin-Lehner |
7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2093g |
Isogeny class |
Conductor |
2093 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2189290237869371 = -1 · 712 · 13 · 233 |
Discriminant |
Eigenvalues |
0 1 -3 7- 3 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-41217,3915835] |
[a1,a2,a3,a4,a6] |
Generators |
[439:8403:1] |
Generators of the group modulo torsion |
j |
-7743965038771437568/2189290237869371 |
j-invariant |
L |
2.6411121795212 |
L(r)(E,1)/r! |
Ω |
0.43892232489007 |
Real period |
R |
0.50143879485257 |
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 |
33488u2 18837q2 52325c2 14651d2 |
Quadratic twists by: -4 -3 5 -7 |