Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
79968u |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
508032 |
Modular degree for the optimal curve |
Δ |
-1865524284642816 = -1 · 29 · 37 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 5 -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9032,-2107176] |
[a1,a2,a3,a4,a6] |
Generators |
[310:-4998:1] |
Generators of the group modulo torsion |
j |
-27610184/632043 |
j-invariant |
L |
5.8799959585511 |
L(r)(E,1)/r! |
Ω |
0.20275224339278 |
Real period |
R |
0.34524871720398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79968b1 79968l1 |
Quadratic twists by: -4 -7 |