Atkin-Lehner |
3- 7+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51471i |
Isogeny class |
Conductor |
51471 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30650880 |
Modular degree for the optimal curve |
Δ |
-4.818653641008E+27 |
Discriminant |
Eigenvalues |
2 3- 2 7+ 3 -1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,213487341,3116536152709] |
[a1,a2,a3,a4,a6] |
Generators |
[126899678068563384127348688730903872:150655752558961664649281355720519291263:90044519602347600163414212608] |
Generators of the group modulo torsion |
j |
1476089082391518074833399808/6609950124839549929522683 |
j-invariant |
L |
14.033437337252 |
L(r)(E,1)/r! |
Ω |
0.031025058954152 |
Real period |
R |
56.54073598212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17157b1 |
Quadratic twists by: -3 |