Atkin-Lehner |
2- 3+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49818z |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-344342016 = -1 · 29 · 34 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 -3 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,40,-871] |
[a1,a2,a3,a4,a6] |
Generators |
[9:13:1] |
Generators of the group modulo torsion |
j |
19575719/953856 |
j-invariant |
L |
9.3657645031411 |
L(r)(E,1)/r! |
Ω |
0.81740250301111 |
Real period |
R |
0.63655328709704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49818h1 |
Quadratic twists by: -19 |