Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4200ba |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
3780000000 = 28 · 33 · 57 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7908,-273312] |
[a1,a2,a3,a4,a6] |
j |
13674725584/945 |
j-invariant |
L |
3.0376054565955 |
L(r)(E,1)/r! |
Ω |
0.50626757609925 |
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 |
8400d1 33600bd1 12600v1 840a1 |
Quadratic twists by: -4 8 -3 5 |