Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800hp |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-27371520000 = -1 · 214 · 35 · 54 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ -4 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1233,18063] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-120:1] [-27:180:1] |
Generators of the group modulo torsion |
j |
-20261200/2673 |
j-invariant |
L |
10.525333809263 |
L(r)(E,1)/r! |
Ω |
1.1486038012923 |
Real period |
R |
0.15272649277067 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800bx1 13200cb1 52800en1 |
Quadratic twists by: -4 8 5 |