Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
101640o |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
15093540000000 = 28 · 34 · 57 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2005340,1093693812] |
[a1,a2,a3,a4,a6] |
Generators |
[829:550:1] |
Generators of the group modulo torsion |
j |
2617399155114496496/44296875 |
j-invariant |
L |
5.3635430655564 |
L(r)(E,1)/r! |
Ω |
0.50080010649833 |
Real period |
R |
0.76499628240999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999808558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101640bx1 |
Quadratic twists by: -11 |