Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040bv |
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] |
Generators |
[75:630:1] |
Generators of the group modulo torsion |
j |
69934528/225 |
j-invariant |
L |
5.0917450745933 |
L(r)(E,1)/r! |
Ω |
1.2127745050462 |
Real period |
R |
2.0992134372014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040ds1 23520bt2 47040ct1 |
Quadratic twists by: -4 8 -7 |