Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968ca |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3002722549544448 = 29 · 38 · 197 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5927259,-5554294738] |
[a1,a2,a3,a4,a6] |
Generators |
[2869:32490:1] [-17097602:-82060:12167] |
Generators of the group modulo torsion |
j |
1311494070536/171 |
j-invariant |
L |
11.338055114608 |
L(r)(E,1)/r! |
Ω |
0.096757821547584 |
Real period |
R |
29.294931755122 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987344 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103968x4 34656j4 5472f3 |
Quadratic twists by: -4 -3 -19 |