Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ds |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
4939200 = 26 · 32 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-240,1350] |
[a1,a2,a3,a4,a6] |
j |
69934528/225 |
j-invariant |
L |
4.8812863728318 |
L(r)(E,1)/r! |
Ω |
2.4406431865046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040bv1 23520e2 47040v1 |
Quadratic twists by: -4 8 -7 |