Atkin-Lehner |
2+ 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
94050w |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7077888 |
Modular degree for the optimal curve |
Δ |
-2.4283837366272E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2588442,-7666286284] |
[a1,a2,a3,a4,a6] |
Generators |
[426013187758060:-70123473551977462:15756617843] |
Generators of the group modulo torsion |
j |
-168380411424176601/2131914391552000 |
j-invariant |
L |
4.1611679656657 |
L(r)(E,1)/r! |
Ω |
0.051090806406157 |
Real period |
R |
20.361627942732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10450r1 18810u1 |
Quadratic twists by: -3 5 |