Atkin-Lehner |
7+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
107219c |
Isogeny class |
Conductor |
107219 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-438796866851 = -1 · 73 · 176 · 53 |
Discriminant |
Eigenvalues |
2 0 -3 7+ -3 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8959,-327943] |
[a1,a2,a3,a4,a6] |
Generators |
[2188410:102276889:1000] |
Generators of the group modulo torsion |
j |
-3294646272/18179 |
j-invariant |
L |
4.6542152495071 |
L(r)(E,1)/r! |
Ω |
0.24527958064613 |
Real period |
R |
9.4875717123632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
371b1 |
Quadratic twists by: 17 |