Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15870bl |
Isogeny class |
Conductor |
15870 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-3099609375000 = -1 · 23 · 3 · 512 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2495,97137] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:393:1] |
Generators of the group modulo torsion |
j |
-3247061909089/5859375000 |
j-invariant |
L |
9.5942969839195 |
L(r)(E,1)/r! |
Ω |
0.71390353752928 |
Real period |
R |
0.37331128863105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126960bv2 47610p2 79350h2 15870bh2 |
Quadratic twists by: -4 -3 5 -23 |