Atkin-Lehner |
2+ 3- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
72624g |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-177783552 = -1 · 28 · 33 · 172 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 2 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-473,-4173] |
[a1,a2,a3,a4,a6] |
Generators |
[78:663:1] |
Generators of the group modulo torsion |
j |
-45812608000/694467 |
j-invariant |
L |
9.4902617245538 |
L(r)(E,1)/r! |
Ω |
0.51131262776982 |
Real period |
R |
3.0934309096239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36312f1 |
Quadratic twists by: -4 |