Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106134c |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-1931849051454 = -1 · 2 · 32 · 77 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 2 -1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-368,66774] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:95:1] [55:438:1] |
Generators of the group modulo torsion |
j |
-361/126 |
j-invariant |
L |
7.2237449456968 |
L(r)(E,1)/r! |
Ω |
0.67538894559652 |
Real period |
R |
0.89130677903313 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999996354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162m1 106134cu1 |
Quadratic twists by: -7 -19 |