Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485w |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-2258274229659984375 = -1 · 36 · 56 · 79 · 173 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,187342,65171152] |
[a1,a2,a3,a4,a6] |
Generators |
[-12332:305573:64] |
Generators of the group modulo torsion |
j |
24718462497/76765625 |
j-invariant |
L |
3.8026353170224 |
L(r)(E,1)/r! |
Ω |
0.18311738740734 |
Real period |
R |
5.1915268272207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4165m1 37485bu1 |
Quadratic twists by: -3 -7 |