Atkin-Lehner |
2+ 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160s |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1393920 |
Modular degree for the optimal curve |
Δ |
-8430617492550316800 = -1 · 28 · 35 · 52 · 1111 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2783945,1792404675] |
[a1,a2,a3,a4,a6] |
j |
-9321071855634140240896/32932099580274675 |
j-invariant |
L |
2.3351386972361 |
L(r)(E,1)/r! |
Ω |
0.23351386976246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25080o1 |
Quadratic twists by: -4 |