Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450be |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-22887638437500 = -1 · 22 · 39 · 57 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27380,1765747] |
[a1,a2,a3,a4,a6] |
j |
-7380705123/74420 |
j-invariant |
L |
5.4368377017484 |
L(r)(E,1)/r! |
Ω |
0.6796047127186 |
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 |
27450b1 5490b1 |
Quadratic twists by: -3 5 |