Atkin-Lehner |
2- 3+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
11712ba |
Isogeny class |
Conductor |
11712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2248704 = 212 · 32 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 4 -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-329,2409] |
[a1,a2,a3,a4,a6] |
Generators |
[7:20:1] |
Generators of the group modulo torsion |
j |
964430272/549 |
j-invariant |
L |
3.7541118010565 |
L(r)(E,1)/r! |
Ω |
2.5647200612814 |
Real period |
R |
1.4637510961648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11712bn2 5856e1 35136cm2 |
Quadratic twists by: -4 8 -3 |