Atkin-Lehner |
2- 3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77520cc |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
80529714000 = 24 · 38 · 53 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1221,8730] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:126:1] |
Generators of the group modulo torsion |
j |
12592337649664/5033107125 |
j-invariant |
L |
8.0310267214424 |
L(r)(E,1)/r! |
Ω |
0.98397262523406 |
Real period |
R |
2.0404598961043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985357 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19380d1 |
Quadratic twists by: -4 |