Atkin-Lehner |
2+ 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
72072f |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
720286414848 = 211 · 33 · 72 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 13- 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-281139,57375918] |
[a1,a2,a3,a4,a6] |
j |
44441968054577238/13026013 |
j-invariant |
L |
4.345953929727 |
L(r)(E,1)/r! |
Ω |
0.7243256539449 |
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 |
72072w2 |
Quadratic twists by: -3 |