Atkin-Lehner |
2+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
65824c |
Isogeny class |
Conductor |
65824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
1927458368 = 26 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-605,5324] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:96:1] |
Generators of the group modulo torsion |
j |
216000/17 |
j-invariant |
L |
4.377960013351 |
L(r)(E,1)/r! |
Ω |
1.4455045009222 |
Real period |
R |
3.02867269565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999285 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65824m1 544d1 |
Quadratic twists by: -4 -11 |