Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
14700p |
Isogeny class |
Conductor |
14700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-868218750000 = -1 · 24 · 34 · 59 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2333,63162] |
[a1,a2,a3,a4,a6] |
j |
-131072/81 |
j-invariant |
L |
1.6444245191443 |
L(r)(E,1)/r! |
Ω |
0.82221225957217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800jk1 44100ct1 14700bq1 14700bp1 |
Quadratic twists by: -4 -3 5 -7 |