Atkin-Lehner |
2- 3+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
13350m |
Isogeny class |
Conductor |
13350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1113890625000 = 23 · 32 · 59 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4638,108531] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:407:1] |
Generators of the group modulo torsion |
j |
5649262541/570312 |
j-invariant |
L |
6.4098169539593 |
L(r)(E,1)/r! |
Ω |
0.84521440216393 |
Real period |
R |
1.2639429982792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106800cd2 40050t2 13350i2 |
Quadratic twists by: -4 -3 5 |