Atkin-Lehner |
5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11515k |
Isogeny class |
Conductor |
11515 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
-691187875 = -1 · 53 · 76 · 47 |
Discriminant |
Eigenvalues |
2 -2 5- 7- 0 -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,180,-801] |
[a1,a2,a3,a4,a6] |
Generators |
[58:241:8] |
Generators of the group modulo torsion |
j |
5451776/5875 |
j-invariant |
L |
6.5060830706373 |
L(r)(E,1)/r! |
Ω |
0.87102165378381 |
Real period |
R |
1.2449141461972 |
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 |
103635ba1 57575n1 235c1 |
Quadratic twists by: -3 5 -7 |