Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656ci |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
177946036537393152 = 224 · 35 · 77 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1489224,-698710032] |
[a1,a2,a3,a4,a6] |
Generators |
[29857447373668:913217239846912:15643757501] |
Generators of the group modulo torsion |
j |
757976769362233/369266688 |
j-invariant |
L |
4.9489202555082 |
L(r)(E,1)/r! |
Ω |
0.13666969406945 |
Real period |
R |
18.105405031102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998429956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15582k1 17808y1 |
Quadratic twists by: -4 -7 |