Atkin-Lehner |
2- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106856c |
Isogeny class |
Conductor |
106856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
92727880080521216 = 211 · 197 · 373 |
Discriminant |
Eigenvalues |
2- 2 3 0 -1 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-499744,-135020244] |
[a1,a2,a3,a4,a6] |
Generators |
[4767015043290:189662218495957:2526569928] |
Generators of the group modulo torsion |
j |
143256979154/962407 |
j-invariant |
L |
13.286419441112 |
L(r)(E,1)/r! |
Ω |
0.17963393808064 |
Real period |
R |
18.490964991186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5624a1 |
Quadratic twists by: -19 |