Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
14700bu |
Isogeny class |
Conductor |
14700 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-14823774000 = -1 · 24 · 32 · 53 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,327,5508] |
[a1,a2,a3,a4,a6] |
Generators |
[128:1470:1] |
Generators of the group modulo torsion |
j |
16384/63 |
j-invariant |
L |
6.0853562808473 |
L(r)(E,1)/r! |
Ω |
0.88817147200097 |
Real period |
R |
1.7128889163535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800hl1 44100dp1 14700u1 2100h1 |
Quadratic twists by: -4 -3 5 -7 |