Atkin-Lehner |
2- 11+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
123728i |
Isogeny class |
Conductor |
123728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
25782935552 = 213 · 112 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 0 -4 -2 11+ 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3107,66210] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:296:1] |
Generators of the group modulo torsion |
j |
809818183161/6294662 |
j-invariant |
L |
3.1479378794738 |
L(r)(E,1)/r! |
Ω |
1.1973199028107 |
Real period |
R |
0.65728841872285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995456653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15466c2 |
Quadratic twists by: -4 |