Atkin-Lehner |
2- 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
52976ba |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
94932992 = 212 · 72 · 11 · 43 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 11+ -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120,-236] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:8:1] [-9:14:1] |
Generators of the group modulo torsion |
j |
47045881/23177 |
j-invariant |
L |
4.9696892587978 |
L(r)(E,1)/r! |
Ω |
1.5158382698434 |
Real period |
R |
1.6392544500507 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3311b1 |
Quadratic twists by: -4 |