Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840bf |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
91337488220160 = 214 · 36 · 5 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12136,235120] |
[a1,a2,a3,a4,a6] |
Generators |
[4:432:1] |
Generators of the group modulo torsion |
j |
48264326765929/22299191460 |
j-invariant |
L |
2.9206497596028 |
L(r)(E,1)/r! |
Ω |
0.53949054205523 |
Real period |
R |
1.3534295469186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2730o1 87360gs1 65520ea1 109200ge1 |
Quadratic twists by: -4 8 -3 5 |