Atkin-Lehner |
2+ 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27550l |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
275500000000 = 28 · 59 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3 5- -3 5 -2 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11242,460916] |
[a1,a2,a3,a4,a6] |
j |
80453723013/141056 |
j-invariant |
L |
3.9121730174501 |
L(r)(E,1)/r! |
Ω |
0.97804325436267 |
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 |
27550bd1 |
Quadratic twists by: 5 |