Atkin-Lehner |
7+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
107219b |
Isogeny class |
Conductor |
107219 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
7459546736467 = 73 · 177 · 53 |
Discriminant |
Eigenvalues |
-1 1 0 7+ 3 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5208,-60931] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:311:1] |
Generators of the group modulo torsion |
j |
647214625/309043 |
j-invariant |
L |
3.6591146652179 |
L(r)(E,1)/r! |
Ω |
0.58913559261184 |
Real period |
R |
1.5527472342215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6307g1 |
Quadratic twists by: 17 |