Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450dh |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-396120375000 = -1 · 23 · 39 · 56 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -5 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,670,-29703] |
[a1,a2,a3,a4,a6] |
Generators |
[35:171:1] |
Generators of the group modulo torsion |
j |
2924207/34776 |
j-invariant |
L |
9.414983321992 |
L(r)(E,1)/r! |
Ω |
0.46620334356669 |
Real period |
R |
1.6829178819398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24150e1 2898j1 |
Quadratic twists by: -3 5 |