Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3542s |
Isogeny class |
Conductor |
3542 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
1584 |
Modular degree for the optimal curve |
Δ |
-438867968 = -1 · 211 · 7 · 113 · 23 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 11- -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,31,-993] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-192:1] |
Generators of the group modulo torsion |
j |
3288008303/438867968 |
j-invariant |
L |
3.9173917326249 |
L(r)(E,1)/r! |
Ω |
0.79127439525013 |
Real period |
R |
0.15002234508681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28336m1 113344bj1 31878l1 88550j1 |
Quadratic twists by: -4 8 -3 5 |