Atkin-Lehner |
2+ 3- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778g |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
-691852534603776 = -1 · 213 · 311 · 7 · 133 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -1 13- 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49824,-4451328] |
[a1,a2,a3,a4,a6] |
j |
-18763629958015489/949043257344 |
j-invariant |
L |
1.9116705780121 |
L(r)(E,1)/r! |
Ω |
0.15930588151552 |
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 |
16926bh1 |
Quadratic twists by: -3 |