Atkin-Lehner |
2- 79- |
Signs for the Atkin-Lehner involutions |
Class |
99856f |
Isogeny class |
Conductor |
99856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
213408 |
Modular degree for the optimal curve |
Δ |
13402445447168 = 231 · 792 |
Discriminant |
Eigenvalues |
2- 0 4 1 0 -4 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6083,-48190] |
[a1,a2,a3,a4,a6] |
Generators |
[-1130:9732:125] |
Generators of the group modulo torsion |
j |
973784889/524288 |
j-invariant |
L |
8.708219905711 |
L(r)(E,1)/r! |
Ω |
0.57557617440981 |
Real period |
R |
7.5647848905464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12482b1 99856c1 |
Quadratic twists by: -4 -79 |