Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79968z |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-15856694784 = -1 · 29 · 37 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -5 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-184,-6196] |
[a1,a2,a3,a4,a6] |
Generators |
[95:918:1] |
Generators of the group modulo torsion |
j |
-27610184/632043 |
j-invariant |
L |
10.364497171223 |
L(r)(E,1)/r! |
Ω |
0.53643201377774 |
Real period |
R |
1.3800839757476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79968l1 79968b1 |
Quadratic twists by: -4 -7 |