Atkin-Lehner |
2- 3+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
72072u |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6713413394688 = 28 · 39 · 7 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12015,491346] |
[a1,a2,a3,a4,a6] |
Generators |
[27:432:1] |
Generators of the group modulo torsion |
j |
38068326000/1332331 |
j-invariant |
L |
6.1954115209699 |
L(r)(E,1)/r! |
Ω |
0.74430122322239 |
Real period |
R |
2.0809489921021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72072b2 |
Quadratic twists by: -3 |