Atkin-Lehner |
2+ 3- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
68328c |
Isogeny class |
Conductor |
68328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4537991547648 = -1 · 28 · 39 · 132 · 732 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1551,105154] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:252:1] [-6:338:1] |
Generators of the group modulo torsion |
j |
-2211014608/24316227 |
j-invariant |
L |
9.5138389165615 |
L(r)(E,1)/r! |
Ω |
0.65891621759175 |
Real period |
R |
3.6096542559477 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999888 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22776g2 |
Quadratic twists by: -3 |