Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
13950u |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-3294934200 = -1 · 23 · 312 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 -5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-207,-2939] |
[a1,a2,a3,a4,a6] |
Generators |
[53:338:1] |
Generators of the group modulo torsion |
j |
-53969305/180792 |
j-invariant |
L |
3.2376170887583 |
L(r)(E,1)/r! |
Ω |
0.5787987266191 |
Real period |
R |
1.3984209621841 |
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 |
111600dq1 4650ba1 13950cx1 |
Quadratic twists by: -4 -3 5 |