Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3465a |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
-51975 = -1 · 33 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11+ 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,0,11] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
-27/1925 |
j-invariant |
L |
3.9039276904629 |
L(r)(E,1)/r! |
Ω |
2.8330478031838 |
Real period |
R |
1.3779956999228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440cb1 3465c1 17325c1 24255s1 |
Quadratic twists by: -4 -3 5 -7 |