Atkin-Lehner |
2- 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090bz |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-764716994092800 = -1 · 28 · 32 · 52 · 710 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2010,-1331100] |
[a1,a2,a3,a4,a6] |
j |
-7633736209/6499987200 |
j-invariant |
L |
7.2842333895344 |
L(r)(E,1)/r! |
Ω |
0.22763229395484 |
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 |
9870n1 |
Quadratic twists by: -7 |