Atkin-Lehner |
3+ 5+ 37- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
121545a |
Isogeny class |
Conductor |
121545 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
457632 |
Modular degree for the optimal curve |
Δ |
-7799770546875 = -1 · 33 · 57 · 373 · 73 |
Discriminant |
Eigenvalues |
0 3+ 5+ 3 -3 0 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-311568,-66938852] |
[a1,a2,a3,a4,a6] |
j |
-123884932200212201472/288880390625 |
j-invariant |
L |
0.60622362101667 |
L(r)(E,1)/r! |
Ω |
0.10103719635334 |
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 |
121545c1 |
Quadratic twists by: -3 |