Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81144cd |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15353856 |
Modular degree for the optimal curve |
Δ |
-1.8118575035226E+24 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 1 0 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29812188,90108041380] |
[a1,a2,a3,a4,a6] |
Generators |
[-709684640:709085783070:2248091] |
Generators of the group modulo torsion |
j |
-389094786976768/240588123669 |
j-invariant |
L |
10.037524932032 |
L(r)(E,1)/r! |
Ω |
0.07733058444955 |
Real period |
R |
8.1125121795283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27048h1 81144cf1 |
Quadratic twists by: -3 -7 |