Atkin-Lehner |
2+ 3- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75888j |
Isogeny class |
Conductor |
75888 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13888 |
Modular degree for the optimal curve |
Δ |
-6146928 = -1 · 24 · 36 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -1 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[84:323:27] |
Generators of the group modulo torsion |
j |
864000/527 |
j-invariant |
L |
5.9772891555614 |
L(r)(E,1)/r! |
Ω |
1.3834132232468 |
Real period |
R |
4.3206823913858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37944o1 8432b1 |
Quadratic twists by: -4 -3 |