Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
3906i |
Isogeny class |
Conductor |
3906 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
84829097934 = 2 · 38 · 7 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6228,-187110] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:45:1] |
Generators of the group modulo torsion |
j |
36650611029313/116363646 |
j-invariant |
L |
2.1925276368401 |
L(r)(E,1)/r! |
Ω |
0.53751678868094 |
Real period |
R |
2.0394968892233 |
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 |
31248cb4 124992ca4 1302n3 97650el4 |
Quadratic twists by: -4 8 -3 5 |