Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
94752m |
Isogeny class |
Conductor |
94752 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3342336 |
Modular degree for the optimal curve |
Δ |
-1.8321264053131E+20 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -2 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-855417,-718912640] |
[a1,a2,a3,a4,a6] |
Generators |
[2288:96444:1] |
Generators of the group modulo torsion |
j |
-1483712790216999616/3926882727437103 |
j-invariant |
L |
3.7826079519986 |
L(r)(E,1)/r! |
Ω |
0.072940518951718 |
Real period |
R |
4.3215668766922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999575763 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94752r1 31584x1 |
Quadratic twists by: -4 -3 |