Atkin-Lehner |
2+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3520i |
Isogeny class |
Conductor |
3520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
-281600 = -1 · 210 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 11+ 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8,-24] |
[a1,a2,a3,a4,a6] |
j |
55296/275 |
j-invariant |
L |
1.5530950110285 |
L(r)(E,1)/r! |
Ω |
1.5530950110285 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3520bf1 440b1 31680z1 17600b1 |
Quadratic twists by: -4 8 -3 5 |