Atkin-Lehner |
2- 3- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
46452c |
Isogeny class |
Conductor |
46452 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-317194880688 = -1 · 24 · 33 · 76 · 792 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-849,28440] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:147:1] [9:-147:1] |
Generators of the group modulo torsion |
j |
-35995648/168507 |
j-invariant |
L |
9.8078181851592 |
L(r)(E,1)/r! |
Ω |
0.83953647454584 |
Real period |
R |
0.64902336537456 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
948a1 |
Quadratic twists by: -7 |