Atkin-Lehner |
2+ 3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36120i |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
27090000 = 24 · 32 · 54 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:15:1] |
Generators of the group modulo torsion |
j |
2955053056/1693125 |
j-invariant |
L |
5.7453077685639 |
L(r)(E,1)/r! |
Ω |
1.7577786681483 |
Real period |
R |
0.81712616506735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240ba1 108360bi1 |
Quadratic twists by: -4 -3 |