Atkin-Lehner |
2- 5+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
38950r |
Isogeny class |
Conductor |
38950 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-19475000000000 = -1 · 29 · 511 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 3 3 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4380,-238753] |
[a1,a2,a3,a4,a6] |
Generators |
[249:3625:1] |
Generators of the group modulo torsion |
j |
-594611161929/1246400000 |
j-invariant |
L |
9.7523078103142 |
L(r)(E,1)/r! |
Ω |
0.27522531172371 |
Real period |
R |
0.98427516524098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7790b1 |
Quadratic twists by: 5 |