Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3542m |
Isogeny class |
Conductor |
3542 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-694232 = -1 · 23 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 1 0 7- 11+ -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,22,-4] |
[a1,a2,a3,a4,a6] |
Generators |
[170:2134:1] |
Generators of the group modulo torsion |
j |
1174241375/694232 |
j-invariant |
L |
5.6845322222273 |
L(r)(E,1)/r! |
Ω |
1.6770834281545 |
Real period |
R |
3.3895345495618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
28336bb1 113344bo1 31878t1 88550e1 |
Quadratic twists by: -4 8 -3 5 |