Atkin-Lehner |
2+ 3+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
112338b |
Isogeny class |
Conductor |
112338 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56784 |
Modular degree for the optimal curve |
Δ |
-1380409344 = -1 · 213 · 33 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -3 -1 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,252,848] |
[a1,a2,a3,a4,a6] |
j |
10479429/8192 |
j-invariant |
L |
1.9533692110722 |
L(r)(E,1)/r! |
Ω |
0.97668459940569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112338l1 112338a1 |
Quadratic twists by: -3 -79 |