Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640cb |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-250132377214566000 = -1 · 24 · 35 · 53 · 74 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,154840,5336817] |
[a1,a2,a3,a4,a6] |
Generators |
[444:-12705:1] |
Generators of the group modulo torsion |
j |
119704073984/72930375 |
j-invariant |
L |
6.819369095567 |
L(r)(E,1)/r! |
Ω |
0.19182818156574 |
Real period |
R |
0.49374111048718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101640l1 |
Quadratic twists by: -11 |