Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450ew |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
108781508385648000 = 27 · 38 · 53 · 7 · 236 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-249260,45256367] |
[a1,a2,a3,a4,a6] |
Generators |
[1533:56365:1] |
Generators of the group modulo torsion |
j |
18794999107081133/1193761408896 |
j-invariant |
L |
9.621894395557 |
L(r)(E,1)/r! |
Ω |
0.32826869179273 |
Real period |
R |
0.34894086675381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000836 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150bi2 72450cc2 |
Quadratic twists by: -3 5 |