Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200ch |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12165120 |
Modular degree for the optimal curve |
Δ |
-6.179146071875E+24 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 1 -1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36642200,-83755798000] |
[a1,a2,a3,a4,a6] |
Generators |
[3277779461399932362720:-706167149493411830136500:71798856396903189] |
Generators of the group modulo torsion |
j |
722603599520256/820654296875 |
j-invariant |
L |
10.43176696758 |
L(r)(E,1)/r! |
Ω |
0.040653455321314 |
Real period |
R |
32.075277750471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39200s1 78400di1 7840o1 5600q1 |
Quadratic twists by: -4 8 5 -7 |