Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496bf |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-1671827814350848 = -1 · 224 · 77 · 112 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- 11- 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91532,-10838800] |
[a1,a2,a3,a4,a6] |
Generators |
[1736:71148:1] |
Generators of the group modulo torsion |
j |
-2749884201/54208 |
j-invariant |
L |
3.5432109623078 |
L(r)(E,1)/r! |
Ω |
0.13707837350982 |
Real period |
R |
3.2310083563754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34496cj1 1078c1 4928i1 |
Quadratic twists by: -4 8 -7 |