Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38080bq |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-44020480000000 = -1 · 214 · 57 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -2 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18725,1042877] |
[a1,a2,a3,a4,a6] |
j |
-44319254354944/2686796875 |
j-invariant |
L |
4.4196033051574 |
L(r)(E,1)/r! |
Ω |
0.63137190074502 |
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 |
38080o1 9520b1 |
Quadratic twists by: -4 8 |