Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3468a |
Isogeny class |
Conductor |
3468 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-315140100864 = -1 · 28 · 3 · 177 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 -5 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1541,-35151] |
[a1,a2,a3,a4,a6] |
j |
-65536/51 |
j-invariant |
L |
0.73722754615916 |
L(r)(E,1)/r! |
Ω |
0.36861377307958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13872bg1 55488bf1 10404h1 86700bf1 |
Quadratic twists by: -4 8 -3 5 |