Atkin-Lehner |
2+ 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29450c |
Isogeny class |
Conductor |
29450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-157810585937500 = -1 · 22 · 510 · 194 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11833,343241] |
[a1,a2,a3,a4,a6] |
Generators |
[4:623:1] [124:1863:1] |
Generators of the group modulo torsion |
j |
11726479120959/10099877500 |
j-invariant |
L |
6.2171356018548 |
L(r)(E,1)/r! |
Ω |
0.37409450310977 |
Real period |
R |
4.1547894650774 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5890h4 |
Quadratic twists by: 5 |