Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640bn |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-12806640 = -1 · 24 · 33 · 5 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -4 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,185] |
[a1,a2,a3,a4,a6] |
Generators |
[8:21:1] |
Generators of the group modulo torsion |
j |
-3748096/6615 |
j-invariant |
L |
9.016239058349 |
L(r)(E,1)/r! |
Ω |
2.0072438824543 |
Real period |
R |
0.37432085933529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101640cu1 |
Quadratic twists by: -11 |