Atkin-Lehner |
2+ 3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
29784b |
Isogeny class |
Conductor |
29784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
102933504 = 210 · 34 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33504,2371644] |
[a1,a2,a3,a4,a6] |
Generators |
[-183:1530:1] [105:18:1] |
Generators of the group modulo torsion |
j |
4061876342822788/100521 |
j-invariant |
L |
5.9534023467538 |
L(r)(E,1)/r! |
Ω |
1.3716111088305 |
Real period |
R |
4.3404448304821 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59568k1 89352t1 |
Quadratic twists by: -4 -3 |