Atkin-Lehner |
3+ 5- 37- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
121545c |
Isogeny class |
Conductor |
121545 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1372896 |
Modular degree for the optimal curve |
Δ |
-5686032728671875 = -1 · 39 · 57 · 373 · 73 |
Discriminant |
Eigenvalues |
0 3+ 5- 3 3 0 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2804112,1807348997] |
[a1,a2,a3,a4,a6] |
Generators |
[7266:24971:8] |
Generators of the group modulo torsion |
j |
-123884932200212201472/288880390625 |
j-invariant |
L |
7.8093782047698 |
L(r)(E,1)/r! |
Ω |
0.3690736667789 |
Real period |
R |
0.5037952872437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000125584 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121545a1 |
Quadratic twists by: -3 |