Atkin-Lehner |
2+ 3+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
49608a |
Isogeny class |
Conductor |
49608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-180531846144 = -1 · 210 · 39 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-459,20790] |
[a1,a2,a3,a4,a6] |
Generators |
[386:2665:8] |
Generators of the group modulo torsion |
j |
-530604/8957 |
j-invariant |
L |
7.3468552613167 |
L(r)(E,1)/r! |
Ω |
0.85457588361081 |
Real period |
R |
4.2985388437822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99216a1 49608j1 |
Quadratic twists by: -4 -3 |