Atkin-Lehner |
2- 3+ 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
119196d |
Isogeny class |
Conductor |
119196 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-4735895472 = -1 · 24 · 33 · 72 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180,-3439] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-231:1] [22:57:1] |
Generators of the group modulo torsion |
j |
-1492992000/10962721 |
j-invariant |
L |
12.273319357618 |
L(r)(E,1)/r! |
Ω |
0.57684631495145 |
Real period |
R |
1.7730487083175 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999995233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119196f1 |
Quadratic twists by: -3 |