Atkin-Lehner |
2- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
4300c |
Isogeny class |
Conductor |
4300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1260 |
Modular degree for the optimal curve |
Δ |
-268750000 = -1 · 24 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -3 3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-500,-4375] |
[a1,a2,a3,a4,a6] |
j |
-2211840/43 |
j-invariant |
L |
1.5126827387408 |
L(r)(E,1)/r! |
Ω |
0.50422757958026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17200ba1 68800br1 38700p1 4300a1 |
Quadratic twists by: -4 8 -3 5 |