Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800bv |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-2594242805760000000 = -1 · 220 · 35 · 57 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-760008,-266281488] |
[a1,a2,a3,a4,a6] |
j |
-758575480593601/40535043840 |
j-invariant |
L |
2.9014821234753 |
L(r)(E,1)/r! |
Ω |
0.080596725652093 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2850l1 91200ik1 68400eq1 4560bc1 |
Quadratic twists by: -4 8 -3 5 |