Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544cp |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4224983360016384 = 212 · 34 · 78 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52544,-3404736] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:846:1] [266:1170:1] |
Generators of the group modulo torsion |
j |
33293019313/8767521 |
j-invariant |
L |
8.9110144230952 |
L(r)(E,1)/r! |
Ω |
0.32150598673976 |
Real period |
R |
6.9291201324643 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000156 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6909j2 15792bf2 |
Quadratic twists by: -4 -7 |