Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11712bh |
Isogeny class |
Conductor |
11712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-34272983384064 = -1 · 224 · 32 · 613 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -3 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2591,277919] |
[a1,a2,a3,a4,a6] |
Generators |
[55:768:1] |
Generators of the group modulo torsion |
j |
7335308807/130741056 |
j-invariant |
L |
6.6673806238247 |
L(r)(E,1)/r! |
Ω |
0.48749198759972 |
Real period |
R |
1.7096128740118 |
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 |
11712e2 2928k2 35136cc2 |
Quadratic twists by: -4 8 -3 |