Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968cu |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-222339890857392 = -1 · 24 · 33 · 74 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8712,645535] |
[a1,a2,a3,a4,a6] |
Generators |
[4735539600:-83329527743:64000000] |
Generators of the group modulo torsion |
j |
95551488/290521 |
j-invariant |
L |
10.099186329714 |
L(r)(E,1)/r! |
Ω |
0.39465907801471 |
Real period |
R |
12.794823295686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992483 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30492g1 121968cw1 11088be1 |
Quadratic twists by: -4 -3 -11 |