Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450eq |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-260258216541750000 = -1 · 24 · 312 · 56 · 7 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-134780,31100847] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:6021:1] |
Generators of the group modulo torsion |
j |
-23771111713777/22848457968 |
j-invariant |
L |
10.145450090581 |
L(r)(E,1)/r! |
Ω |
0.28326945852168 |
Real period |
R |
2.2384715737021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150j1 2898e1 |
Quadratic twists by: -3 5 |