Atkin-Lehner |
2+ 3- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50184l |
Isogeny class |
Conductor |
50184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11776 |
Modular degree for the optimal curve |
Δ |
-390230784 = -1 · 28 · 37 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 0 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,177,-286] |
[a1,a2,a3,a4,a6] |
Generators |
[7:36:1] |
Generators of the group modulo torsion |
j |
3286064/2091 |
j-invariant |
L |
5.9997851734538 |
L(r)(E,1)/r! |
Ω |
0.96904063846593 |
Real period |
R |
0.77393363798589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100368v1 16728g1 |
Quadratic twists by: -4 -3 |