Atkin-Lehner |
2- 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21112c |
Isogeny class |
Conductor |
21112 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
1024552239609808 = 24 · 72 · 133 · 296 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 2 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44014,-3203163] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:585:1] |
Generators of the group modulo torsion |
j |
589354015390230528/64034514975613 |
j-invariant |
L |
5.8968893006291 |
L(r)(E,1)/r! |
Ω |
0.33193326291719 |
Real period |
R |
2.9608809758947 |
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 |
42224d1 |
Quadratic twists by: -4 |