Atkin-Lehner |
2- 3- 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270cg |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-64400240970450 = -1 · 2 · 32 · 52 · 72 · 112 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9689,120491] |
[a1,a2,a3,a4,a6] |
Generators |
[958:13381:8] |
Generators of the group modulo torsion |
j |
100590687957552911/64400240970450 |
j-invariant |
L |
9.5652127184596 |
L(r)(E,1)/r! |
Ω |
0.38663834889566 |
Real period |
R |
3.0924288633616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810bp2 |
Quadratic twists by: -3 |