Atkin-Lehner |
5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5075a |
Isogeny class |
Conductor |
5075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13876953125 = 510 · 72 · 29 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ 0 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3776,-89427] |
[a1,a2,a3,a4,a6] |
Generators |
[247:3626:1] |
Generators of the group modulo torsion |
j |
380920459249/888125 |
j-invariant |
L |
2.954277842789 |
L(r)(E,1)/r! |
Ω |
0.60913868419173 |
Real period |
R |
2.4249632468418 |
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 |
81200bm2 45675q2 1015a2 35525e2 |
Quadratic twists by: -4 -3 5 -7 |