Atkin-Lehner |
2+ 5+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38950a |
Isogeny class |
Conductor |
38950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
378905600000000 = 216 · 58 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 4 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18375,-212875] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:905:1] |
Generators of the group modulo torsion |
j |
43915988093041/24249958400 |
j-invariant |
L |
6.1134271141237 |
L(r)(E,1)/r! |
Ω |
0.43895114836066 |
Real period |
R |
3.4818379772755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7790e1 |
Quadratic twists by: 5 |