Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
41952m |
Isogeny class |
Conductor |
41952 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
137280 |
Modular degree for the optimal curve |
Δ |
-20967220956672 = -1 · 29 · 311 · 19 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -6 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4512,-247788] |
[a1,a2,a3,a4,a6] |
Generators |
[148:1518:1] |
Generators of the group modulo torsion |
j |
-19845281961224/40951603431 |
j-invariant |
L |
4.074979533418 |
L(r)(E,1)/r! |
Ω |
0.27334352636006 |
Real period |
R |
2.4846509614172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41952o1 83904bu1 125856e1 |
Quadratic twists by: -4 8 -3 |