Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400cy |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-3858750000 = -1 · 24 · 32 · 57 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,117,-2988] |
[a1,a2,a3,a4,a6] |
Generators |
[33:189:1] |
Generators of the group modulo torsion |
j |
2048/45 |
j-invariant |
L |
5.0972089354307 |
L(r)(E,1)/r! |
Ω |
0.67709609242787 |
Real period |
R |
1.8820109111668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800dq1 88200cw1 5880q1 29400ef1 |
Quadratic twists by: -4 -3 5 -7 |