Atkin-Lehner |
23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
28037c |
Isogeny class |
Conductor |
28037 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
23188 |
Modular degree for the optimal curve |
Δ |
-7845902117 = -1 · 236 · 53 |
Discriminant |
Eigenvalues |
-1 -3 0 4 0 -3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,165,-4224] |
[a1,a2,a3,a4,a6] |
Generators |
[22:87:1] |
Generators of the group modulo torsion |
j |
3375/53 |
j-invariant |
L |
2.2595601607848 |
L(r)(E,1)/r! |
Ω |
0.64247072177117 |
Real period |
R |
3.516985419282 |
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 |
53a1 |
Quadratic twists by: -23 |