Atkin-Lehner |
2- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
88768m |
Isogeny class |
Conductor |
88768 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
157440 |
Modular degree for the optimal curve |
Δ |
-2961493639168 = -1 · 214 · 195 · 73 |
Discriminant |
Eigenvalues |
2- 2 0 0 4 3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12853,571245] |
[a1,a2,a3,a4,a6] |
Generators |
[16984578:524232723:17576] |
Generators of the group modulo torsion |
j |
-14333461504000/180755227 |
j-invariant |
L |
10.781281945498 |
L(r)(E,1)/r! |
Ω |
0.80508941202141 |
Real period |
R |
13.391409431656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88768j1 22192d1 |
Quadratic twists by: -4 8 |