Atkin-Lehner |
2- 3+ 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990bq |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
880 |
Product of Tamagawa factors cp |
Δ |
-141005340000000000 = -1 · 211 · 33 · 510 · 72 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-67037,19278949] |
[a1,a2,a3,a4,a6] |
Generators |
[107:3596:1] |
Generators of the group modulo torsion |
j |
-1233950069360166003/5222420000000000 |
j-invariant |
L |
8.8138328343217 |
L(r)(E,1)/r! |
Ω |
0.28481182622084 |
Real period |
R |
0.14066437145982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45990d2 |
Quadratic twists by: -3 |