Atkin-Lehner |
2+ 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
72072b |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9209071872 = 28 · 33 · 7 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1335,-18198] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:24:1] |
Generators of the group modulo torsion |
j |
38068326000/1332331 |
j-invariant |
L |
5.4740963809701 |
L(r)(E,1)/r! |
Ω |
0.79152041345177 |
Real period |
R |
1.7289814284108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72072u2 |
Quadratic twists by: -3 |