Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450de |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
432669081600000000 = 220 · 38 · 58 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-246605,34993397] |
[a1,a2,a3,a4,a6] |
Generators |
[-321:9160:1] |
Generators of the group modulo torsion |
j |
145606291302529/37984665600 |
j-invariant |
L |
9.1929493700954 |
L(r)(E,1)/r! |
Ω |
0.27852770764812 |
Real period |
R |
0.82513777956138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000753 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150ba1 14490z1 |
Quadratic twists by: -3 5 |