Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560ch |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-14497370357760000 = -1 · 217 · 314 · 54 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32532,-5334608] |
[a1,a2,a3,a4,a6] |
Generators |
[516:12200:1] |
Generators of the group modulo torsion |
j |
39849102862/151723125 |
j-invariant |
L |
3.3371645143603 |
L(r)(E,1)/r! |
Ω |
0.20065997167185 |
Real period |
R |
4.1577357275458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999434455 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560ff3 13320o4 35520bn3 |
Quadratic twists by: -4 8 -3 |