Atkin-Lehner |
2+ 3- 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
53010j |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7362810697500 = -1 · 22 · 36 · 54 · 194 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4260,-75844] |
[a1,a2,a3,a4,a6] |
Generators |
[73:751:1] |
Generators of the group modulo torsion |
j |
11726479120959/10099877500 |
j-invariant |
L |
3.3488394578868 |
L(r)(E,1)/r! |
Ω |
0.40981296139315 |
Real period |
R |
2.0429072365454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5890h4 |
Quadratic twists by: -3 |