Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192bq |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
9243648 |
Modular degree for the optimal curve |
Δ |
-6.6252318248556E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 0 1 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42979680,108446072076] |
[a1,a2,a3,a4,a6] |
j |
-145765603223714807432/10998738542547 |
j-invariant |
L |
5.2326175432034 |
L(r)(E,1)/r! |
Ω |
0.15390052644962 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108192bj1 15456h1 |
Quadratic twists by: -4 -7 |