Atkin-Lehner |
2+ 3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778o |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-8087916742542 = -1 · 2 · 38 · 76 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,468,-136890] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1170:1] |
Generators of the group modulo torsion |
j |
15531437375/11094535998 |
j-invariant |
L |
4.2159074823386 |
L(r)(E,1)/r! |
Ω |
0.34443951574234 |
Real period |
R |
1.0199922118985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926bl2 |
Quadratic twists by: -3 |