Atkin-Lehner |
2- 3- 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
52470bl |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
484711983360 = 28 · 310 · 5 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3497,-71319] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:96:1] |
Generators of the group modulo torsion |
j |
6485846213449/664899840 |
j-invariant |
L |
9.1096600773746 |
L(r)(E,1)/r! |
Ω |
0.62495560400698 |
Real period |
R |
0.91103072151702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490b1 |
Quadratic twists by: -3 |