Atkin-Lehner |
2+ 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430bj |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-213510713499233640 = -1 · 23 · 36 · 5 · 712 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,21600,22192456] |
[a1,a2,a3,a4,a6] |
Generators |
[107:-5125:1] [-45:4619:1] |
Generators of the group modulo torsion |
j |
12994449551/2489452840 |
j-invariant |
L |
8.1416890637152 |
L(r)(E,1)/r! |
Ω |
0.2438400006462 |
Real period |
R |
8.3473681950421 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11270p2 14490ba2 |
Quadratic twists by: -3 -7 |