Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048bd |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
31388663808 = 216 · 38 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 0 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7788,-264400] |
[a1,a2,a3,a4,a6] |
Generators |
[1150:38880:1] |
Generators of the group modulo torsion |
j |
1093437796/657 |
j-invariant |
L |
7.5422661561861 |
L(r)(E,1)/r! |
Ω |
0.50822816820705 |
Real period |
R |
3.7100787736732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048cm1 5256i1 14016q1 |
Quadratic twists by: -4 8 -3 |