Atkin-Lehner |
2- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
79184bf |
Isogeny class |
Conductor |
79184 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-1447498723328 = -1 · 212 · 73 · 1013 |
Discriminant |
Eigenvalues |
2- -3 0 7- 2 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2765,-14798] |
[a1,a2,a3,a4,a6] |
Generators |
[119:-1414:1] [9:104:1] |
Generators of the group modulo torsion |
j |
1664006625/1030301 |
j-invariant |
L |
7.1714246830137 |
L(r)(E,1)/r! |
Ω |
0.49155931925977 |
Real period |
R |
0.60788057530082 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4949e1 79184w1 |
Quadratic twists by: -4 -7 |