Atkin-Lehner |
2- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
41300c |
Isogeny class |
Conductor |
41300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
33696 |
Modular degree for the optimal curve |
Δ |
-450847980800 = -1 · 28 · 52 · 73 · 593 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,692,-31768] |
[a1,a2,a3,a4,a6] |
Generators |
[218:649:8] |
Generators of the group modulo torsion |
j |
5717870000/70444997 |
j-invariant |
L |
3.6210263379349 |
L(r)(E,1)/r! |
Ω |
0.46082926804691 |
Real period |
R |
2.6192103301665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41300m1 |
Quadratic twists by: 5 |