Atkin-Lehner |
2- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54910t |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
3514240 = 27 · 5 · 172 · 19 |
Discriminant |
Eigenvalues |
2- -3 5+ -1 -3 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63,-153] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] [-34:51:8] |
Generators of the group modulo torsion |
j |
94268961/12160 |
j-invariant |
L |
8.215133518383 |
L(r)(E,1)/r! |
Ω |
1.7111164102299 |
Real period |
R |
0.68586245541796 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54910bi1 |
Quadratic twists by: 17 |