Atkin-Lehner |
2+ 3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450c |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2.8544439174005E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3131367,-3339325459] |
[a1,a2,a3,a4,a6] |
Generators |
[28435763778970:520210912294573:12246522625] |
Generators of the group modulo torsion |
j |
-17665842966075/14850127376 |
j-invariant |
L |
4.6674331194767 |
L(r)(E,1)/r! |
Ω |
0.054799232456183 |
Real period |
R |
21.293332544433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72450cn1 72450dd2 |
Quadratic twists by: -3 5 |