Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90024i |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-1.6344717029595E+23 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3771368,19653176112] |
[a1,a2,a3,a4,a6] |
Generators |
[7531:646866:1] |
Generators of the group modulo torsion |
j |
-1635063031525250/45049641881409 |
j-invariant |
L |
8.4998742827443 |
L(r)(E,1)/r! |
Ω |
0.085421146774176 |
Real period |
R |
2.7640417837142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8184m2 |
Quadratic twists by: -11 |