Atkin-Lehner |
2- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45496g |
Isogeny class |
Conductor |
45496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-161344890977202944 = -1 · 28 · 1111 · 472 |
Discriminant |
Eigenvalues |
2- -3 -1 4 11- 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-831028,-292229036] |
[a1,a2,a3,a4,a6] |
Generators |
[1769:61429:1] |
Generators of the group modulo torsion |
j |
-139950548941824/355761659 |
j-invariant |
L |
3.6765356462617 |
L(r)(E,1)/r! |
Ω |
0.07904956987309 |
Real period |
R |
5.8136553623156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90992h1 4136b1 |
Quadratic twists by: -4 -11 |