Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72072bh |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
1681295616 = 28 · 38 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27039,1711330] |
[a1,a2,a3,a4,a6] |
j |
11714617043152/9009 |
j-invariant |
L |
2.4870195396706 |
L(r)(E,1)/r! |
Ω |
1.2435097805952 |
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 |
24024r1 |
Quadratic twists by: -3 |