Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400dp |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-98843739130080000 = -1 · 28 · 37 · 54 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 7 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-260108,-53166588] |
[a1,a2,a3,a4,a6] |
j |
-43061200/2187 |
j-invariant |
L |
1.6862352152751 |
L(r)(E,1)/r! |
Ω |
0.10538970095463 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800es1 88200eh1 29400by1 29400ek1 |
Quadratic twists by: -4 -3 5 -7 |