Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20475b |
Isogeny class |
Conductor |
20475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6718359375 = 33 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 2 13+ 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5255,147872] |
[a1,a2,a3,a4,a6] |
Generators |
[24:175:1] |
Generators of the group modulo torsion |
j |
38034753147/15925 |
j-invariant |
L |
3.407934272669 |
L(r)(E,1)/r! |
Ω |
1.3106651549715 |
Real period |
R |
0.65003907743757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20475a2 4095c2 |
Quadratic twists by: -3 5 |