Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50784q |
Isogeny class |
Conductor |
50784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
85268672064 = 26 · 32 · 236 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1234,-9424] |
[a1,a2,a3,a4,a6] |
Generators |
[129811:1195992:1331] |
Generators of the group modulo torsion |
j |
21952/9 |
j-invariant |
L |
7.5158516004243 |
L(r)(E,1)/r! |
Ω |
0.83495625364639 |
Real period |
R |
9.0014914764382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50784w1 101568k2 96a1 |
Quadratic twists by: -4 8 -23 |