Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640bi |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3.7603484380224E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3992302336,97092837953536] |
[a1,a2,a3,a4,a6] |
Generators |
[906193058:-368828718750:4913] |
Generators of the group modulo torsion |
j |
1718043013877225552292911401729/9180538178765625000000 |
j-invariant |
L |
4.7658758867037 |
L(r)(E,1)/r! |
Ω |
0.057576969583248 |
Real period |
R |
6.8978330531562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4830bc6 115920dy6 |
Quadratic twists by: -4 -3 |