Atkin-Lehner |
3- 5- 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
67545m |
Isogeny class |
Conductor |
67545 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
186368 |
Modular degree for the optimal curve |
Δ |
-8893800302535 = -1 · 37 · 5 · 194 · 792 |
Discriminant |
Eigenvalues |
1 3- 5- 0 2 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-85554,-9611537] |
[a1,a2,a3,a4,a6] |
j |
-94999210792865569/12200000415 |
j-invariant |
L |
2.2331910432538 |
L(r)(E,1)/r! |
Ω |
0.13957444033893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22515b1 |
Quadratic twists by: -3 |