Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968t |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-57051728441344512 = -1 · 29 · 38 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27075,-11619146] |
[a1,a2,a3,a4,a6] |
Generators |
[2030:91098:1] |
Generators of the group modulo torsion |
j |
-125000/3249 |
j-invariant |
L |
7.3855275265629 |
L(r)(E,1)/r! |
Ω |
0.15284869577841 |
Real period |
R |
6.0399006856449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999825433 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103968br2 34656bd2 5472r2 |
Quadratic twists by: -4 -3 -19 |