Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
101640n |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-415941972692400 = -1 · 24 · 32 · 52 · 72 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15085,669000] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:525:1] |
Generators of the group modulo torsion |
j |
10061824/11025 |
j-invariant |
L |
6.4868930857894 |
L(r)(E,1)/r! |
Ω |
0.35277058299237 |
Real period |
R |
2.2985522982699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017568 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101640bw1 |
Quadratic twists by: -11 |