Atkin-Lehner |
2- 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
48336bd |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
53121650688 = 212 · 35 · 19 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 -2 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1256,13488] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:70:1] |
Generators of the group modulo torsion |
j |
53540005609/12969153 |
j-invariant |
L |
7.1063920067574 |
L(r)(E,1)/r! |
Ω |
1.0531308399127 |
Real period |
R |
3.3739359524144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3021a1 |
Quadratic twists by: -4 |