Atkin-Lehner |
2- 3- 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56610s |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2792513615294531250 = 2 · 312 · 58 · 173 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-354578,-11752113] |
[a1,a2,a3,a4,a6] |
Generators |
[16375427222:1078430826507:3652264] |
Generators of the group modulo torsion |
j |
6762859947304084441/3830608525781250 |
j-invariant |
L |
10.618506303568 |
L(r)(E,1)/r! |
Ω |
0.21106225909859 |
Real period |
R |
12.577457415825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999681 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870h2 |
Quadratic twists by: -3 |