Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3465n |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
972504225 = 38 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1157,15356] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:151:1] |
Generators of the group modulo torsion |
j |
234770924809/1334025 |
j-invariant |
L |
2.2584784703966 |
L(r)(E,1)/r! |
Ω |
1.5736662787933 |
Real period |
R |
0.71758494822943 |
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 |
55440et2 1155h2 17325w2 24255be2 |
Quadratic twists by: -4 -3 5 -7 |