Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544v |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
55931904 = 210 · 33 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 2 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96,40] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:20:1] |
Generators of the group modulo torsion |
j |
3538944/2023 |
j-invariant |
L |
6.274854352674 |
L(r)(E,1)/r! |
Ω |
1.7012983352734 |
Real period |
R |
1.8441369814024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544cy1 4284d1 68544p1 |
Quadratic twists by: -4 8 -3 |