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 |
Δ |
-1739539200 = -1 · 28 · 3 · 52 · 72 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,300,-300] |
[a1,a2,a3,a4,a6] |
Generators |
[10:60:1] |
Generators of the group modulo torsion |
j |
11625163184/6795075 |
j-invariant |
L |
5.7453077685639 |
L(r)(E,1)/r! |
Ω |
0.87888933407414 |
Real period |
R |
1.6342523301347 |
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 |
72240ba2 108360bi2 |
Quadratic twists by: -4 -3 |