Atkin-Lehner |
2- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54910bi |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
308448 |
Modular degree for the optimal curve |
Δ |
84825210482560 = 27 · 5 · 178 · 19 |
Discriminant |
Eigenvalues |
2- 3 5- 1 3 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18117,-822851] |
[a1,a2,a3,a4,a6] |
j |
94268961/12160 |
j-invariant |
L |
11.620187265608 |
L(r)(E,1)/r! |
Ω |
0.41500668806503 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54910t1 |
Quadratic twists by: 17 |