Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616cq |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1645056 |
Modular degree for the optimal curve |
Δ |
-7.223670637006E+19 |
Discriminant |
Eigenvalues |
2- 3- 4 3 4 -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-250563,411758530] |
[a1,a2,a3,a4,a6] |
Generators |
[5985:461840:1] |
Generators of the group modulo torsion |
j |
-289/12 |
j-invariant |
L |
9.0935167504345 |
L(r)(E,1)/r! |
Ω |
0.16156474779101 |
Real period |
R |
7.0355050179288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5202d1 13872bo1 41616cx1 |
Quadratic twists by: -4 -3 17 |