Atkin-Lehner |
3+ 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
112749j |
Isogeny class |
Conductor |
112749 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5211648 |
Modular degree for the optimal curve |
Δ |
-4.1471211567501E+21 |
Discriminant |
Eigenvalues |
-1 3+ -1 7- 1 13- 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5437776,-5783340690] |
[a1,a2,a3,a4,a6] |
Generators |
[76350:994070:27] |
Generators of the group modulo torsion |
j |
-151146960389242700401/35249948208230301 |
j-invariant |
L |
3.467507797085 |
L(r)(E,1)/r! |
Ω |
0.048828792385579 |
Real period |
R |
5.9177990174193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000120753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16107d1 |
Quadratic twists by: -7 |