Atkin-Lehner |
2- 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440by |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-6939843750000 = -1 · 24 · 33 · 511 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -1 -6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-747,-126989] |
[a1,a2,a3,a4,a6] |
Generators |
[57:125:1] [62:255:1] |
Generators of the group modulo torsion |
j |
-106709177088/16064453125 |
j-invariant |
L |
12.80404310773 |
L(r)(E,1)/r! |
Ω |
0.3322628910267 |
Real period |
R |
0.87581546928014 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999962959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118440d1 |
Quadratic twists by: -3 |