Atkin-Lehner |
3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
106575bj |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
26448276462890625 = 34 · 59 · 78 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -2 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-162950,-24146625] |
[a1,a2,a3,a4,a6] |
Generators |
[18854:2578901:1] |
Generators of the group modulo torsion |
j |
2082440933/115101 |
j-invariant |
L |
4.1765500447036 |
L(r)(E,1)/r! |
Ω |
0.23843999205174 |
Real period |
R |
8.7580737179346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999744235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106575ct1 15225ba1 |
Quadratic twists by: 5 -7 |