Atkin-Lehner |
2- 3+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
50184r |
Isogeny class |
Conductor |
50184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20224 |
Modular degree for the optimal curve |
Δ |
-19270656 = -1 · 210 · 33 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3507,-79938] |
[a1,a2,a3,a4,a6] |
Generators |
[306:5244:1] |
Generators of the group modulo torsion |
j |
-172531059372/697 |
j-invariant |
L |
6.5515775182766 |
L(r)(E,1)/r! |
Ω |
0.31019551360876 |
Real period |
R |
5.2802000922281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100368c1 50184c1 |
Quadratic twists by: -4 -3 |