Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ha |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-33620319432000 = -1 · 26 · 36 · 53 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5080,-239982] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1470:1] |
Generators of the group modulo torsion |
j |
1925134784/4465125 |
j-invariant |
L |
7.3381511786706 |
L(r)(E,1)/r! |
Ω |
0.3392923743752 |
Real period |
R |
1.2015450280394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040fe1 23520b2 6720be1 |
Quadratic twists by: -4 8 -7 |