Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72072bh |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10135804949157888 = 211 · 38 · 74 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62859,-3651482] |
[a1,a2,a3,a4,a6] |
j |
18397916126354/6788921139 |
j-invariant |
L |
2.4870195396706 |
L(r)(E,1)/r! |
Ω |
0.3108774451488 |
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 |
24024r4 |
Quadratic twists by: -3 |