Atkin-Lehner |
2+ 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550bc |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
627200 |
Modular degree for the optimal curve |
Δ |
-2720011266000000 = -1 · 27 · 37 · 56 · 75 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 2 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11808,2457216] |
[a1,a2,a3,a4,a6] |
j |
15983964359/238793856 |
j-invariant |
L |
1.3489225062577 |
L(r)(E,1)/r! |
Ω |
0.33723060345917 |
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 |
38850cj1 4662p1 |
Quadratic twists by: -3 5 |