Atkin-Lehner |
2- 3+ 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
16770w |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
232185882240000 = 210 · 33 · 54 · 132 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-41256,3123753] |
[a1,a2,a3,a4,a6] |
Generators |
[51:1049:1] |
Generators of the group modulo torsion |
j |
7765791482938877569/232185882240000 |
j-invariant |
L |
4.6443646660194 |
L(r)(E,1)/r! |
Ω |
0.55522301088999 |
Real period |
R |
0.27882878140412 |
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 |
50310be1 83850v1 |
Quadratic twists by: -3 5 |