Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470bt |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.1358155616227E+34 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-212778262215,-36804691187691075] |
[a1,a2,a3,a4,a6] |
Generators |
[69334174683465858552819778313588444904369495:-36215562613258177136276860460450367313605978482:103315121855686188862403320795508301375] |
Generators of the group modulo torsion |
j |
302773487204995438715379645049/8911747415025000000000000 |
j-invariant |
L |
3.7904748452413 |
L(r)(E,1)/r! |
Ω |
0.0070420550878242 |
Real period |
R |
67.282824272978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013939 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35490du2 8190bm2 |
Quadratic twists by: -3 13 |