Atkin-Lehner |
2+ 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
109330m |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3381665751616360000 = -1 · 26 · 54 · 132 · 298 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,121928,86995584] |
[a1,a2,a3,a4,a6] |
Generators |
[495:16152:1] |
Generators of the group modulo torsion |
j |
337008232079/5685160000 |
j-invariant |
L |
6.5348371982964 |
L(r)(E,1)/r! |
Ω |
0.18674794688915 |
Real period |
R |
2.1870512164937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3770g2 |
Quadratic twists by: 29 |