Atkin-Lehner |
2- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
50864bk |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
220320 |
Modular degree for the optimal curve |
Δ |
-38030266998665216 = -1 · 212 · 113 · 178 |
Discriminant |
Eigenvalues |
2- 0 1 2 11+ -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,78608,4009008] |
[a1,a2,a3,a4,a6] |
Generators |
[-3495300330271079:14203135830479901:71333963490817] |
Generators of the group modulo torsion |
j |
1880064/1331 |
j-invariant |
L |
6.2300958525106 |
L(r)(E,1)/r! |
Ω |
0.23119977137612 |
Real period |
R |
26.946808015546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3179g1 50864bm1 |
Quadratic twists by: -4 17 |