Atkin-Lehner |
2+ 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240n |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-11334082086915840 = -1 · 28 · 36 · 5 · 710 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-150116,22915164] |
[a1,a2,a3,a4,a6] |
j |
-1461394911581736784/44273758152015 |
j-invariant |
L |
2.4106439824718 |
L(r)(E,1)/r! |
Ω |
0.40177399897638 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120u2 |
Quadratic twists by: -4 |