Atkin-Lehner |
5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
385a |
Isogeny class |
Conductor |
385 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3705625 = 54 · 72 · 112 |
Discriminant |
Eigenvalues |
-1 0 5- 7+ 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-642,6416] |
[a1,a2,a3,a4,a6] |
Generators |
[6:49:1] |
Generators of the group modulo torsion |
j |
29220958012401/3705625 |
j-invariant |
L |
1.255102798703 |
L(r)(E,1)/r! |
Ω |
2.3974795613599 |
Real period |
R |
0.52350927988353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6160n2 24640a2 3465f2 1925e2 |
Quadratic twists by: -4 8 -3 5 |