Atkin-Lehner |
3+ 7- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51471b |
Isogeny class |
Conductor |
51471 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-270273551877 = -1 · 39 · 75 · 19 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 3 -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,376,24760] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:104:1] |
Generators of the group modulo torsion |
j |
299418309/13731319 |
j-invariant |
L |
4.7567775124769 |
L(r)(E,1)/r! |
Ω |
0.74281885722981 |
Real period |
R |
0.64036843790075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51471a1 |
Quadratic twists by: -3 |