Atkin-Lehner |
2+ 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
49440d |
Isogeny class |
Conductor |
49440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-59328000 = -1 · 29 · 32 · 53 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -3 -1 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24,-360] |
[a1,a2,a3,a4,a6] |
Generators |
[6:6:1] [14:54:1] |
Generators of the group modulo torsion |
j |
2863288/115875 |
j-invariant |
L |
9.5504084544993 |
L(r)(E,1)/r! |
Ω |
0.94900974843721 |
Real period |
R |
2.5158878689672 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49440a1 98880bk1 |
Quadratic twists by: -4 8 |