Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3465n |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-105249375 = -1 · 37 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32,506] |
[a1,a2,a3,a4,a6] |
Generators |
[0:22:1] |
Generators of the group modulo torsion |
j |
-4826809/144375 |
j-invariant |
L |
2.2584784703966 |
L(r)(E,1)/r! |
Ω |
1.5736662787933 |
Real period |
R |
1.4351698964589 |
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 |
55440et1 1155h1 17325w1 24255be1 |
Quadratic twists by: -4 -3 5 -7 |