Atkin-Lehner |
2+ 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33150a |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
27311456250000 = 24 · 32 · 58 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7625,-52875] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:293:1] |
Generators of the group modulo torsion |
j |
3138428376721/1747933200 |
j-invariant |
L |
3.5596039949133 |
L(r)(E,1)/r! |
Ω |
0.5481269851225 |
Real period |
R |
1.6235307198557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99450cp1 6630ba1 |
Quadratic twists by: -3 5 |