Atkin-Lehner |
2- 3+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502ba |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
860287203594 = 2 · 39 · 73 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 3 13- -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3512,67393] |
[a1,a2,a3,a4,a6] |
Generators |
[86:1357:8] |
Generators of the group modulo torsion |
j |
243321230907/43707118 |
j-invariant |
L |
10.245380507477 |
L(r)(E,1)/r! |
Ω |
0.84659294742911 |
Real period |
R |
2.0169828051343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47502d1 |
Quadratic twists by: -3 |