Atkin-Lehner |
2+ 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712i |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
101604298752 = 212 · 33 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 11+ -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1332,-10720] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:68:1] [-14:72:1] |
Generators of the group modulo torsion |
j |
2363266368/918731 |
j-invariant |
L |
7.5677135576731 |
L(r)(E,1)/r! |
Ω |
0.81684715528285 |
Real period |
R |
1.158067563351 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712s2 53856s1 107712n2 |
Quadratic twists by: -4 8 -3 |