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 |
Δ |
917117698218750 = 2 · 312 · 56 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40241030,98264399847] |
[a1,a2,a3,a4,a6] |
Generators |
[23422:583635:8] |
Generators of the group modulo torsion |
j |
632678989847546725777/80515134 |
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 |
24150j4 2898e4 |
Quadratic twists by: -3 5 |