Atkin-Lehner |
3- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58305l |
Isogeny class |
Conductor |
58305 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
6586190307861328125 = 35 · 512 · 136 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5092565,4421219100] |
[a1,a2,a3,a4,a6] |
Generators |
[3355:156760:1] |
Generators of the group modulo torsion |
j |
3026030815665395929/1364501953125 |
j-invariant |
L |
3.3416386548083 |
L(r)(E,1)/r! |
Ω |
0.23372016097716 |
Real period |
R |
0.23829342470461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
345c4 |
Quadratic twists by: 13 |