Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
40200bl |
Isogeny class |
Conductor |
40200 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1886976 |
Modular degree for the optimal curve |
Δ |
-4153147642080000 = -1 · 28 · 318 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 -6 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11522508,-15058421712] |
[a1,a2,a3,a4,a6] |
j |
-1057413430346007240400/25957172763 |
j-invariant |
L |
2.9499543614161 |
L(r)(E,1)/r! |
Ω |
0.040971588353006 |
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 |
80400t1 120600ba1 40200g1 |
Quadratic twists by: -4 -3 5 |