Atkin-Lehner |
2- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3520v |
Isogeny class |
Conductor |
3520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-180224000 = -1 · 217 · 53 · 11 |
Discriminant |
Eigenvalues |
2- 3 5+ -1 11+ 6 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-268,1808] |
[a1,a2,a3,a4,a6] |
j |
-16241202/1375 |
j-invariant |
L |
3.5272757519293 |
L(r)(E,1)/r! |
Ω |
1.7636378759647 |
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 |
3520h1 880d1 31680dz1 17600cb1 |
Quadratic twists by: -4 8 -3 5 |