Atkin-Lehner |
2- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720x |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
47071232000000 = 220 · 56 · 132 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-354721,-81434145] |
[a1,a2,a3,a4,a6] |
j |
18829800329506921/179562500 |
j-invariant |
L |
0.78250652431507 |
L(r)(E,1)/r! |
Ω |
0.19562663116312 |
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 |
70720b1 17680l1 |
Quadratic twists by: -4 8 |