Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050dx |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-2117762448750 = -1 · 2 · 33 · 54 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 6 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-184580,30568997] |
[a1,a2,a3,a4,a6] |
Generators |
[16500:8449:64] |
Generators of the group modulo torsion |
j |
-8538302475/26 |
j-invariant |
L |
10.347624786032 |
L(r)(E,1)/r! |
Ω |
0.71886167108308 |
Real period |
R |
3.5986147272899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050t2 76050g1 5850g1 |
Quadratic twists by: -3 5 13 |