Atkin-Lehner |
3- 5- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
55845n |
Isogeny class |
Conductor |
55845 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-67851675 = -1 · 37 · 52 · 17 · 73 |
Discriminant |
Eigenvalues |
-2 3- 5- -5 2 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-147,792] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-23:1] [-13:22:1] |
Generators of the group modulo torsion |
j |
-481890304/93075 |
j-invariant |
L |
4.9228608608675 |
L(r)(E,1)/r! |
Ω |
1.8747278057214 |
Real period |
R |
0.32823837451496 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18615g1 |
Quadratic twists by: -3 |