Atkin-Lehner |
2+ 3+ 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270w |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-34347505500 = -1 · 22 · 32 · 53 · 74 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-297,9009] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:-99:1] |
Generators of the group modulo torsion |
j |
-2912566550041/34347505500 |
j-invariant |
L |
3.793862529078 |
L(r)(E,1)/r! |
Ω |
0.98839870040457 |
Real period |
R |
0.15993303644924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810dp1 |
Quadratic twists by: -3 |