Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720ca |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-4495431560069120 = -1 · 222 · 5 · 118 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 11- 0 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19521,3398881] |
[a1,a2,a3,a4,a6] |
Generators |
[453:9344:1] |
Generators of the group modulo torsion |
j |
-14641/80 |
j-invariant |
L |
5.2947969141557 |
L(r)(E,1)/r! |
Ω |
0.37699110874658 |
Real period |
R |
3.5112213466784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720k1 9680x1 38720cd1 |
Quadratic twists by: -4 8 -11 |