Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450cm |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-4.9126030253824E+30 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3978746620,45172208814247] |
[a1,a2,a3,a4,a6] |
Generators |
[296453:-165309379:1] |
Generators of the group modulo torsion |
j |
22649115256119592694355357/15973509811739648000000 |
j-invariant |
L |
9.8434538664413 |
L(r)(E,1)/r! |
Ω |
0.015410185325112 |
Real period |
R |
9.9806695001422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998222 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450a2 14490c2 |
Quadratic twists by: -3 5 |