Atkin-Lehner |
2+ 5+ 29+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
105850a |
Isogeny class |
Conductor |
105850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23293440 |
Modular degree for the optimal curve |
Δ |
-5.4333404541016E+22 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 -6 -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-102576750,399986976500] |
[a1,a2,a3,a4,a6] |
Generators |
[149628:1058870:27] |
Generators of the group modulo torsion |
j |
-7639246036581958184006881/3477337890625000000 |
j-invariant |
L |
3.9263402715611 |
L(r)(E,1)/r! |
Ω |
0.11025140700584 |
Real period |
R |
8.9031522809939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21170f1 |
Quadratic twists by: 5 |