Atkin-Lehner |
3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39675f |
Isogeny class |
Conductor |
39675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
86618583984375 = 36 · 510 · 233 |
Discriminant |
Eigenvalues |
1 3+ 5+ 1 -5 3 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14075,455250] |
[a1,a2,a3,a4,a6] |
j |
2595575/729 |
j-invariant |
L |
2.2559432439912 |
L(r)(E,1)/r! |
Ω |
0.56398581100156 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119025bg1 39675bq1 39675g1 |
Quadratic twists by: -3 5 -23 |