Atkin-Lehner |
2- 3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
79344bh |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-298874472136704 = -1 · 215 · 39 · 19 · 293 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 -3 -7 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4251,-838582] |
[a1,a2,a3,a4,a6] |
Generators |
[367:6858:1] |
Generators of the group modulo torsion |
j |
-2845178713/100092456 |
j-invariant |
L |
6.572829294607 |
L(r)(E,1)/r! |
Ω |
0.23808187447887 |
Real period |
R |
3.4509290698415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9918s1 26448m1 |
Quadratic twists by: -4 -3 |