Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920hp |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
3651056640 = 210 · 33 · 5 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2045,34803] |
[a1,a2,a3,a4,a6] |
Generators |
[43:168:1] |
Generators of the group modulo torsion |
j |
924093773824/3565485 |
j-invariant |
L |
9.0582211778175 |
L(r)(E,1)/r! |
Ω |
1.408415587843 |
Real period |
R |
2.143832463566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995437 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920bm1 18480a1 |
Quadratic twists by: -4 8 |