Atkin-Lehner |
2+ 3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360a |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
165888324000000 = 28 · 39 · 56 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23463,1236762] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:1250:1] |
Generators of the group modulo torsion |
j |
283493480688/32921875 |
j-invariant |
L |
5.9653370846303 |
L(r)(E,1)/r! |
Ω |
0.55469935533434 |
Real period |
R |
2.6885451581755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034401 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108360w1 |
Quadratic twists by: -3 |