Atkin-Lehner |
2- 3+ 7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354bl |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-31881581424 = -1 · 24 · 33 · 7 · 113 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,226,-8547] |
[a1,a2,a3,a4,a6] |
j |
47477252061/1180799312 |
j-invariant |
L |
6.7986538814933 |
L(r)(E,1)/r! |
Ω |
0.56655453963965 |
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 |
123354i1 |
Quadratic twists by: -3 |