Atkin-Lehner |
2- 3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
79344bj |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-107683365368365056 = -1 · 224 · 36 · 192 · 293 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -3 -1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71139,-17395486] |
[a1,a2,a3,a4,a6] |
Generators |
[647:14402:1] |
Generators of the group modulo torsion |
j |
-13333970928097/36062941184 |
j-invariant |
L |
2.4771798657653 |
L(r)(E,1)/r! |
Ω |
0.13570492966373 |
Real period |
R |
4.5635406751777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001595 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9918h1 8816e1 |
Quadratic twists by: -4 -3 |