Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712ea |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
96 |
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 |
[-792:68:1] [2438:94248:1] |
Generators of the group modulo torsion |
j |
31263615188837576/433370817 |
j-invariant |
L |
10.818171271127 |
L(r)(E,1)/r! |
Ω |
0.12875837991102 |
Real period |
R |
3.5007984458216 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000398 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712fe2 53856bd2 35904cx2 |
Quadratic twists by: -4 8 -3 |