Atkin-Lehner |
3+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48675b |
Isogeny class |
Conductor |
48675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
300649503515625 = 34 · 58 · 115 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11+ -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4949338,-4240138594] |
[a1,a2,a3,a4,a6] |
Generators |
[-85344679620:42331398866:66430125] |
Generators of the group modulo torsion |
j |
858114089022392566489/19241568225 |
j-invariant |
L |
3.141945923466 |
L(r)(E,1)/r! |
Ω |
0.10121917107989 |
Real period |
R |
15.520508071495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999849 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9735e1 |
Quadratic twists by: 5 |