Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
54096dd |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-2907536228352 = -1 · 217 · 39 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 3 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1528,84692] |
[a1,a2,a3,a4,a6] |
Generators |
[38:288:1] |
Generators of the group modulo torsion |
j |
-1967079625/14486688 |
j-invariant |
L |
8.2157388853919 |
L(r)(E,1)/r! |
Ω |
0.69006626656969 |
Real period |
R |
0.33071457060206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6762c1 54096bd1 |
Quadratic twists by: -4 -7 |