Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525cj |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
7815739297644140625 = 38 · 58 · 78 · 232 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-496151,-1488427] |
[a1,a2,a3,a4,a6] |
j |
7347774183121/4251692025 |
j-invariant |
L |
3.1570071988978 |
L(r)(E,1)/r! |
Ω |
0.19731295353534 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16905c2 12075i2 |
Quadratic twists by: 5 -7 |