Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350bi |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-149045750000000 = -1 · 27 · 59 · 72 · 233 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 -7 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-755063,-252599383] |
[a1,a2,a3,a4,a6] |
Generators |
[2192:91779:1] |
Generators of the group modulo torsion |
j |
-62180929511972089/194672000 |
j-invariant |
L |
10.176296966212 |
L(r)(E,1)/r! |
Ω |
0.080979236378742 |
Real period |
R |
4.4880538965055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999744 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11270i1 56350bb1 |
Quadratic twists by: 5 -7 |