Atkin-Lehner |
2+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
79184a |
Isogeny class |
Conductor |
79184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-248321024 = -1 · 210 · 74 · 101 |
Discriminant |
Eigenvalues |
2+ 1 -1 7+ 0 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,-764] |
[a1,a2,a3,a4,a6] |
Generators |
[90:197:8] |
Generators of the group modulo torsion |
j |
-196/101 |
j-invariant |
L |
6.7504466086105 |
L(r)(E,1)/r! |
Ω |
0.78807261440357 |
Real period |
R |
4.2828836363304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39592f1 79184m1 |
Quadratic twists by: -4 -7 |