Atkin-Lehner |
2+ 3- 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778f |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3186843210134890488 = -1 · 23 · 38 · 74 · 138 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-155268,-89020184] |
[a1,a2,a3,a4,a6] |
Generators |
[92227533:-1608643235:132651] |
Generators of the group modulo torsion |
j |
-567863080316868673/4371527037222072 |
j-invariant |
L |
3.2760531758542 |
L(r)(E,1)/r! |
Ω |
0.10617081478723 |
Real period |
R |
7.7141095281652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926z4 |
Quadratic twists by: -3 |