Atkin-Lehner |
2+ 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
124872t |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
9773829589392 = 24 · 36 · 117 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 11- -4 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5364,-17415] |
[a1,a2,a3,a4,a6] |
Generators |
[84:363:1] [-48:363:1] |
Generators of the group modulo torsion |
j |
602275072/344817 |
j-invariant |
L |
12.253452689043 |
L(r)(E,1)/r! |
Ω |
0.60483637614241 |
Real period |
R |
0.42206499889037 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999972447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11352l1 |
Quadratic twists by: -11 |