Atkin-Lehner |
2+ 3- 31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
123504q |
Isogeny class |
Conductor |
123504 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
191744 |
Modular degree for the optimal curve |
Δ |
-5762202624 = -1 · 210 · 37 · 31 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -1 -5 -4 -7 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4216,104036] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-54:1] [-22:432:1] |
Generators of the group modulo torsion |
j |
-8095218381796/5627151 |
j-invariant |
L |
10.636357421444 |
L(r)(E,1)/r! |
Ω |
1.3370105107411 |
Real period |
R |
0.28411886424424 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000301 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61752j1 |
Quadratic twists by: -4 |