Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450eq |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
627645405960562500 = 22 · 318 · 56 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2515280,1535576847] |
[a1,a2,a3,a4,a6] |
Generators |
[1113:10115:1] |
Generators of the group modulo torsion |
j |
154502321244119857/55101928644 |
j-invariant |
L |
10.145450090581 |
L(r)(E,1)/r! |
Ω |
0.28326945852168 |
Real period |
R |
4.4769431474041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000986 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24150j2 2898e2 |
Quadratic twists by: -3 5 |