Atkin-Lehner |
3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37905q |
Isogeny class |
Conductor |
37905 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
364800 |
Modular degree for the optimal curve |
Δ |
58107987177553425 = 3 · 52 · 74 · 199 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -2 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-122748,-11820419] |
[a1,a2,a3,a4,a6] |
Generators |
[14579648915:1088441427346:2571353] |
Generators of the group modulo torsion |
j |
633839779/180075 |
j-invariant |
L |
8.216016043921 |
L(r)(E,1)/r! |
Ω |
0.26056855129717 |
Real period |
R |
15.765555749185 |
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 |
113715h1 37905f1 |
Quadratic twists by: -3 -19 |