Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29520bp |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
30606336000000 = 216 · 36 · 56 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24123,1417322] |
[a1,a2,a3,a4,a6] |
Generators |
[109:288:1] [-17:1350:1] |
Generators of the group modulo torsion |
j |
519912412921/10250000 |
j-invariant |
L |
7.5382556566052 |
L(r)(E,1)/r! |
Ω |
0.66043574813412 |
Real period |
R |
2.8535159089673 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3690r1 118080gb1 3280j1 |
Quadratic twists by: -4 8 -3 |