Atkin-Lehner |
2- 3+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328bw |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-43553585627136 = -1 · 226 · 33 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14209,729889] |
[a1,a2,a3,a4,a6] |
Generators |
[2568:12943:27] |
Generators of the group modulo torsion |
j |
-1210333063393/166143744 |
j-invariant |
L |
6.177653236946 |
L(r)(E,1)/r! |
Ω |
0.62076450463812 |
Real period |
R |
4.9758428464329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328bh1 26832t1 |
Quadratic twists by: -4 8 |