Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712fe |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
10352306605031424 = 215 · 312 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1890156,1000205840] |
[a1,a2,a3,a4,a6] |
Generators |
[877:4131:1] |
Generators of the group modulo torsion |
j |
31263615188837576/433370817 |
j-invariant |
L |
4.6144416889958 |
L(r)(E,1)/r! |
Ω |
0.37079427764076 |
Real period |
R |
1.0370624115777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712ea2 53856w2 35904bp2 |
Quadratic twists by: -4 8 -3 |