Atkin-Lehner |
2- 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27550bf |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
97280 |
Modular degree for the optimal curve |
Δ |
-2045312000000000 = -1 · 216 · 59 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 0 5- 2 4 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,30945,-594553] |
[a1,a2,a3,a4,a6] |
j |
1677947202387/1047199744 |
j-invariant |
L |
4.2890210994989 |
L(r)(E,1)/r! |
Ω |
0.26806381871868 |
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 |
27550p1 |
Quadratic twists by: 5 |