Atkin-Lehner |
2+ 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
102200g |
Isogeny class |
Conductor |
102200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
1752730000 = 24 · 54 · 74 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 2 -6 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-308,637] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:5:1] [-7:49:1] |
Generators of the group modulo torsion |
j |
324179200/175273 |
j-invariant |
L |
8.905432690256 |
L(r)(E,1)/r! |
Ω |
1.3007285612895 |
Real period |
R |
0.57054132044343 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102200t1 |
Quadratic twists by: 5 |