Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72128bh |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-3.6263499732606E+19 |
Discriminant |
Eigenvalues |
2- 2 0 7- 0 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,821567,42035169] |
[a1,a2,a3,a4,a6] |
Generators |
[2812245:832580364:103823] |
Generators of the group modulo torsion |
j |
7953970437500/4703287687 |
j-invariant |
L |
9.5067484082952 |
L(r)(E,1)/r! |
Ω |
0.12536313902986 |
Real period |
R |
9.4792102371882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72128u1 18032f1 10304u1 |
Quadratic twists by: -4 8 -7 |