Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440q |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
49553758800 = 24 · 34 · 52 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5455,-152900] |
[a1,a2,a3,a4,a6] |
Generators |
[100:540:1] |
Generators of the group modulo torsion |
j |
9538484224/26325 |
j-invariant |
L |
6.7884299524526 |
L(r)(E,1)/r! |
Ω |
0.55560516384782 |
Real period |
R |
3.0545207241001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1560e1 |
Quadratic twists by: -7 |