Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968br |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
16 |
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] |
j |
-125000/3249 |
j-invariant |
L |
1.1807008811598 |
L(r)(E,1)/r! |
Ω |
0.29517525987521 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103968t2 34656d2 5472i2 |
Quadratic twists by: -4 -3 -19 |