Atkin-Lehner |
3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37905m |
Isogeny class |
Conductor |
37905 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
2586220245 = 34 · 5 · 72 · 194 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -5 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-481,3085] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:10:1] [-13:85:1] |
Generators of the group modulo torsion |
j |
94633984/19845 |
j-invariant |
L |
7.9041766841642 |
L(r)(E,1)/r! |
Ω |
1.3643029951009 |
Real period |
R |
0.24139849898162 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113715bc1 37905a1 |
Quadratic twists by: -3 -19 |