Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55860o |
Isogeny class |
Conductor |
55860 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-9857809710000 = -1 · 24 · 32 · 54 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-151038] |
[a1,a2,a3,a4,a6] |
Generators |
[89:-735:1] |
Generators of the group modulo torsion |
j |
-16384/5236875 |
j-invariant |
L |
5.3477301822501 |
L(r)(E,1)/r! |
Ω |
0.33200684783433 |
Real period |
R |
0.67113703340451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7980c1 |
Quadratic twists by: -7 |