Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450cq |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
119281680000000 = 210 · 33 · 57 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39380,-2951753] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:235:1] |
Generators of the group modulo torsion |
j |
16008724040427/282741760 |
j-invariant |
L |
10.97441667646 |
L(r)(E,1)/r! |
Ω |
0.33927116126183 |
Real period |
R |
0.80867591530468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001517 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450i1 14490a1 |
Quadratic twists by: -3 5 |