Atkin-Lehner |
2- 3- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
50184bc |
Isogeny class |
Conductor |
50184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
8845231104 = 210 · 36 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 4 2 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35571,-2582210] |
[a1,a2,a3,a4,a6] |
Generators |
[376716:269297:1728] |
Generators of the group modulo torsion |
j |
6667828959172/11849 |
j-invariant |
L |
6.4958352578341 |
L(r)(E,1)/r! |
Ω |
0.34763667092706 |
Real period |
R |
9.3428510296413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100368bb1 5576b1 |
Quadratic twists by: -4 -3 |