Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
55272bo |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1056245840004096 = 210 · 34 · 78 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44312,-3246720] |
[a1,a2,a3,a4,a6] |
Generators |
[7005:45080:27] |
Generators of the group modulo torsion |
j |
79874724388/8767521 |
j-invariant |
L |
8.2025178914995 |
L(r)(E,1)/r! |
Ω |
0.33139894157098 |
Real period |
R |
6.1877972909194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110544j2 7896i2 |
Quadratic twists by: -4 -7 |