Atkin-Lehner |
23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
28037b |
Isogeny class |
Conductor |
28037 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-644851 = -1 · 233 · 53 |
Discriminant |
Eigenvalues |
-1 0 -3 2 2 -5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19,54] |
[a1,a2,a3,a4,a6] |
Generators |
[6:8:1] |
Generators of the group modulo torsion |
j |
-59319/53 |
j-invariant |
L |
2.1890449261444 |
L(r)(E,1)/r! |
Ω |
2.6327954141804 |
Real period |
R |
0.41572636338436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28037a1 |
Quadratic twists by: -23 |