Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
79968bn |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-329210167878144 = -1 · 29 · 38 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -2 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80376,8840952] |
[a1,a2,a3,a4,a6] |
Generators |
[1146:3969:8] |
Generators of the group modulo torsion |
j |
-19456019912/111537 |
j-invariant |
L |
4.3792534078798 |
L(r)(E,1)/r! |
Ω |
0.54465833583926 |
Real period |
R |
1.3400613197637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79968t1 79968ch1 |
Quadratic twists by: -4 -7 |