Atkin-Lehner |
2- 3+ 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
55476b |
Isogeny class |
Conductor |
55476 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
7764864768 = 28 · 39 · 23 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 1 -2 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-783,-7290] |
[a1,a2,a3,a4,a6] |
Generators |
[70:530:1] |
Generators of the group modulo torsion |
j |
10536048/1541 |
j-invariant |
L |
8.112768359774 |
L(r)(E,1)/r! |
Ω |
0.9113436921322 |
Real period |
R |
4.4509927647372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55476a1 |
Quadratic twists by: -3 |