Atkin-Lehner |
2- 3+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502z |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1033362735678 = 2 · 39 · 74 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2945,-36557] |
[a1,a2,a3,a4,a6] |
Generators |
[55796:1615579:64] |
Generators of the group modulo torsion |
j |
143466352875/52500266 |
j-invariant |
L |
10.192930387775 |
L(r)(E,1)/r! |
Ω |
0.66797329405745 |
Real period |
R |
7.6297439422008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47502c2 |
Quadratic twists by: -3 |