Atkin-Lehner |
2+ 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
36120s |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-159252791040 = -1 · 28 · 310 · 5 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,580,-18240] |
[a1,a2,a3,a4,a6] |
Generators |
[28:144:1] |
Generators of the group modulo torsion |
j |
84143142704/622081215 |
j-invariant |
L |
7.3448573409461 |
L(r)(E,1)/r! |
Ω |
0.50902972471898 |
Real period |
R |
1.4429132493199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240j2 108360bm2 |
Quadratic twists by: -4 -3 |